internal members will have mangled names when seen from Java. In an existing non-KSP compiler plugin (Anvil) we use this logic to compute the mangled suffix that these functions would have like so

private fun ModuleDescriptor.mangledNameSuffix(): String {
  // We replace - with _ to maintain interoperability with Dagger's expected generated identifiers
  val name = name.asString().replace('-', '_')
  return if (name.startsWith('<') && name.endsWith('>')) {
    name.substring(1, name.length - 1)
  } else {
    name
  }
}

Could KSP expose an API to access ModuleDescriptor.name? This would allow ensuring generation of jvm-compatible sources when migrating to KSP in our case.