Kotlin doesn't have immutable collection types in the standard library (it lets you use a read-only interface but the collection is really still mutable and will be seen as such by any Java code), so if you want actually immutable collections you have to use non-standard collections, and since Kotlin doesn't have typeclasses or implicit conversions it's difficult to interoperate between any non-standard collection library and other Kotlin code.
Yeah, if all your code and libraries are Kotlin then there's less risk of a collection being mutated under you (though even then, Kotlin gives you no way to write a method that only accepts an immutable collection - you can write a method that accepts a view-only interface, but it will always be possible to pass a mutable collection and mutate it in parallel while that method is running). But of course in that scenario there's also zero benefit from having compatibility with the Java collections.