diff --git a/compiler/fir/fir2ir/jvm-backend/src/org/jetbrains/kotlin/fir/backend/jvm/FirJvmMangleComputer.kt b/compiler/fir/fir2ir/jvm-backend/src/org/jetbrains/kotlin/fir/backend/jvm/FirJvmMangleComputer.kt
index d8af581ad99..f9905f48d8c 100644
--- a/compiler/fir/fir2ir/jvm-backend/src/org/jetbrains/kotlin/fir/backend/jvm/FirJvmMangleComputer.kt
+++ b/compiler/fir/fir2ir/jvm-backend/src/org/jetbrains/kotlin/fir/backend/jvm/FirJvmMangleComputer.kt
@@ -7,13 +7,10 @@ package org.jetbrains.kotlin.fir.backend.jvm
 
 import org.jetbrains.kotlin.backend.common.serialization.mangle.MangleMode
 import org.jetbrains.kotlin.fir.backend.FirMangleComputer
-import org.jetbrains.kotlin.fir.containingClassLookupTag
 import org.jetbrains.kotlin.fir.declarations.*
 import org.jetbrains.kotlin.fir.java.declarations.FirJavaField
 import org.jetbrains.kotlin.fir.originalForSubstitutionOverride
-import org.jetbrains.kotlin.fir.render
 import org.jetbrains.kotlin.fir.resolve.providers.firProvider
-import org.jetbrains.kotlin.fir.resolve.providers.symbolProvider
 import org.jetbrains.kotlin.fir.symbols.ConeTypeParameterLookupTag
 import org.jetbrains.kotlin.fir.types.coneType
 
@@ -24,7 +21,7 @@ class FirJvmMangleComputer(
     builder: StringBuilder,
     mode: MangleMode,
 ) : FirMangleComputer(builder, mode) {
-    override val visitor = JvmVisitor()
+    override val visitor: Visitor = JvmVisitor()
 
     override fun FirFunction.platformSpecificSuffix(): String? =
         if (this is FirSimpleFunction && name.asString() == "main")
@@ -36,26 +33,6 @@ class FirJvmMangleComputer(
     override fun copy(newMode: MangleMode): FirJvmMangleComputer =
         FirJvmMangleComputer(builder, newMode)
 
-    // FIXME this implementation causes the mangler to deliver different result than IR mangler. Consider using base method instead
-    override fun FirDeclaration.visitParent() {
-        val (parentPackageFqName, parentClassId) = when (this) {
-            is FirCallableDeclaration -> this.containingClassLookupTag()?.classId?.let { it.packageFqName to it } ?: return
-            is FirClassLikeDeclaration -> this.symbol.classId.let { it.packageFqName to it.outerClassId }
-            else -> return
-        }
-        if (parentClassId != null && !parentClassId.isLocal) {
-            val parentClassLike = this.moduleData.session.symbolProvider.getClassLikeSymbolByClassId(parentClassId)?.fir
-                ?: error("Attempt to find parent ($parentClassId) for probably-local declaration!")
-            if (parentClassLike is FirRegularClass || parentClassLike is FirTypeAlias) {
-                parentClassLike.visit()
-            } else {
-                error("Strange class-like declaration: ${parentClassLike.render()}")
-            }
-        } else if (parentClassId == null && !parentPackageFqName.isRoot) {
-            builder.appendName(parentPackageFqName.asString())
-        }
-    }
-
     // FIXME this implementation causes the mangler to deliver different result than IR mangler. Consider using base method instead
     override fun getEffectiveParent(typeParameter: ConeTypeParameterLookupTag): FirMemberDeclaration = typeParameter.symbol.fir.run {
 
@@ -78,7 +55,7 @@ class FirJvmMangleComputer(
         throw IllegalStateException("Should not be here!")
     }
 
-    protected inner class JvmVisitor : Visitor() {
+    private inner class JvmVisitor : Visitor() {
         override fun visitField(field: FirField) {
             if (field is FirJavaField) {
                 field.mangleSimpleDeclaration(field.name.asString())
diff --git a/compiler/testData/ir/irText/declarations/kt45308.kt b/compiler/testData/ir/irText/declarations/kt45308.kt
index 3d7f4d3ae8e..55509470ccc 100644
--- a/compiler/testData/ir/irText/declarations/kt45308.kt
+++ b/compiler/testData/ir/irText/declarations/kt45308.kt
@@ -2,9 +2,6 @@
 // IGNORE_BACKEND_K1: JS_IR
 // IGNORE_BACKEND_K1: JS_IR_ES6
 
-// MUTE_SIGNATURE_COMPARISON_K2: ANY
-// ^ KT-57433
-
 // MODULE: a
 // FILE: a.kt
 package a
diff --git a/compiler/testData/ir/irText/declarations/kt45308.sig.kt.txt b/compiler/testData/ir/irText/declarations/kt45308.sig.kt.txt
index 625515bf05b..4d0efb64096 100644
--- a/compiler/testData/ir/irText/declarations/kt45308.sig.kt.txt
+++ b/compiler/testData/ir/irText/declarations/kt45308.sig.kt.txt
@@ -13,6 +13,9 @@ package b
 // CHECK JVM_IR:
 //   Mangled name: b#foo(kotlin.Function0<kotlin.String>){}kotlin.String
 //   Public signature: b/foo|-5020381652845254261[0]
+// CHECK JS_IR NATIVE:
+//   Mangled name: b#foo(kotlin.Function0<kotlin.String>){}
+//   Public signature: b/foo|-2695324588787180624[0]
 fun foo(f: Function0<String>): String
 
 // MODULE: c
@@ -21,5 +24,8 @@ fun foo(f: Function0<String>): String
 // CHECK JVM_IR:
 //   Mangled name: #box(){}kotlin.String
 //   Public signature: /box|-9347091776561469[0]
+// CHECK JS_IR NATIVE:
+//   Mangled name: #box(){}
+//   Public signature: /box|2173511048851971368[0]
 fun box(): String
 
diff --git a/compiler/testData/ir/irText/declarations/provideDelegate/javaDelegate.kt b/compiler/testData/ir/irText/declarations/provideDelegate/javaDelegate.kt
index 1bf5f96045d..46a4300f9ac 100644
--- a/compiler/testData/ir/irText/declarations/provideDelegate/javaDelegate.kt
+++ b/compiler/testData/ir/irText/declarations/provideDelegate/javaDelegate.kt
@@ -2,9 +2,6 @@
 // TARGET_BACKEND: JVM
 // SKIP_KT_DUMP
 
-// MUTE_SIGNATURE_COMPARISON_K2: ANY
-// ^ KT-57433
-
 // FILE: box.kt
 
 package k
diff --git a/compiler/testData/ir/irText/expressions/ambiguousFieldAccess.kt b/compiler/testData/ir/irText/expressions/ambiguousFieldAccess.kt
index f7f2bd795d5..de7d1558425 100644
--- a/compiler/testData/ir/irText/expressions/ambiguousFieldAccess.kt
+++ b/compiler/testData/ir/irText/expressions/ambiguousFieldAccess.kt
@@ -2,9 +2,6 @@
 // SKIP_KLIB_TEST
 // Related to KT-49507
 
-// MUTE_SIGNATURE_COMPARISON_K2: ANY
-// ^ KT-57433
-
 // FILE: A.java
 public class A {
     protected String x = "1";
diff --git a/compiler/testData/ir/irText/expressions/builtinOperators.kt b/compiler/testData/ir/irText/expressions/builtinOperators.kt
index 57087f30416..dc62884b46e 100644
--- a/compiler/testData/ir/irText/expressions/builtinOperators.kt
+++ b/compiler/testData/ir/irText/expressions/builtinOperators.kt
@@ -1,8 +1,5 @@
 // FIR_IDENTICAL
 
-// MUTE_SIGNATURE_COMPARISON_K2: JVM_IR
-// ^ KT-57433
-
 // FILE: test.kt
 
 package test
diff --git a/compiler/testData/ir/irText/expressions/callableReferences/boundInlineAdaptedReference.kt b/compiler/testData/ir/irText/expressions/callableReferences/boundInlineAdaptedReference.kt
index 60f7e41fac7..3282a8c221f 100644
--- a/compiler/testData/ir/irText/expressions/callableReferences/boundInlineAdaptedReference.kt
+++ b/compiler/testData/ir/irText/expressions/callableReferences/boundInlineAdaptedReference.kt
@@ -1,6 +1,3 @@
-// MUTE_SIGNATURE_COMPARISON_K2: JVM_IR
-// ^ KT-57433
-
 package test
 
 inline fun foo(x: () -> Unit) {}
diff --git a/compiler/testData/ir/irText/expressions/callableReferences/boundInnerGenericConstructor.kt b/compiler/testData/ir/irText/expressions/callableReferences/boundInnerGenericConstructor.kt
index dc782ef7b3b..eebf901bfd7 100644
--- a/compiler/testData/ir/irText/expressions/callableReferences/boundInnerGenericConstructor.kt
+++ b/compiler/testData/ir/irText/expressions/callableReferences/boundInnerGenericConstructor.kt
@@ -1,7 +1,7 @@
 // FIR_IDENTICAL
 
 // MUTE_SIGNATURE_COMPARISON_K2: JVM_IR
-// ^ KT-57433, KT-57429
+// ^ KT-57429
 
 package test
 
diff --git a/compiler/testData/ir/irText/expressions/callableReferences/importedFromObject.kt b/compiler/testData/ir/irText/expressions/callableReferences/importedFromObject.kt
index dc84100f047..3898f79e0ed 100644
--- a/compiler/testData/ir/irText/expressions/callableReferences/importedFromObject.kt
+++ b/compiler/testData/ir/irText/expressions/callableReferences/importedFromObject.kt
@@ -1,8 +1,5 @@
 // FIR_IDENTICAL
 
-// MUTE_SIGNATURE_COMPARISON_K2: JVM_IR
-// ^ KT-57433
-
 package test
 
 import test.Foo.a
diff --git a/compiler/testData/ir/irText/expressions/funImportedFromObject.kt b/compiler/testData/ir/irText/expressions/funImportedFromObject.kt
index 907c3e3ad4d..575fc1bcef5 100644
--- a/compiler/testData/ir/irText/expressions/funImportedFromObject.kt
+++ b/compiler/testData/ir/irText/expressions/funImportedFromObject.kt
@@ -1,8 +1,5 @@
 // FIR_IDENTICAL
 
-// MUTE_SIGNATURE_COMPARISON_K2: JVM_IR
-// ^ KT-57433
-
 package test
 
 import test.Host.foo
diff --git a/compiler/testData/ir/irText/expressions/safeCallWithIncrementDecrement.kt b/compiler/testData/ir/irText/expressions/safeCallWithIncrementDecrement.kt
index c0a3f9552c4..8e9c8073621 100644
--- a/compiler/testData/ir/irText/expressions/safeCallWithIncrementDecrement.kt
+++ b/compiler/testData/ir/irText/expressions/safeCallWithIncrementDecrement.kt
@@ -1,6 +1,3 @@
-// MUTE_SIGNATURE_COMPARISON_K2: JVM_IR
-// ^ KT-57433
-
 package test
 
 class C