Yes.

Though I don't think anyone ever suggested the actor model (or Erlang) was doing C/C++ craziness.

I understand the point as: being able to send a message to a particular actor, passing it a value that you can later retrieve by sending that same actor another message, is semantically exactly the same as calling a setter on an object reference, and later calling a getter to get the value back. In both cases you have a pocket of mutable state, potentially accessible by multiple unrelated places in code, that isn't reflected in function signatures.