[Concurrency] Actors & actor isolation

Copying a discussion from the roadmap thread per suggestion from @Lantua:

If these accesses are disallowed, from the "First Phase: Basic Actor Isolation" example in the roadmap thread:

    // error: an actor cannot access another's mutable state
    otherActor.mutableArray += ["not allowed"]

    // error: either reading or writing
    print(other.mutableArray.first)

What is the meaning of mutableArray being declared internal?

I see how this proposal adds an axis beyond access control—mutableArray is restricted even beyond what private would signify:

synchronous functions may only be invoked by the specific actor instance itself, and not even by any other instance of the same actor class.

(my emphasis)

What I am wondering is if these axes are orthogonal: is it at all meaningful that mutableArray is internal here? I'm not sure that access control modifiers really matter at all for actor state. Perhaps they would matter if the state was annotated @actorIndependent? I wonder if the language or the developer tools might clarify this at all.