Thank you for your thoughtful reply. It has given me much to consider, and of course, leaves me with more questions than answers.

The heart of computational theory may be said to to be the FSM (finite state machine). There are deterministic and non-deterministic classifications, the former having no ambiguities. There are further two general models of FSM, Moore and Mealy, which have to do with basic operational considerations. In general, actions are taken by the FSM based on input. Thus, I opine there may be a relationship between action and determinism. You can also think of an FSM as being event driven (passive), or as an input reader (active). This last seems important, although I cannot say why.

So we cannot make a measurement and presume whether the particle is entangled (?) or not and yet the measurement may have been influenced at a distance. Curious. This seems to touch on the very nature of randomness, which is very hard to simulate with a computer and is often best seeded with human input in practice.