*I heavily edited this hopefully making it clearer.
I think you are misunderstanding me. Maybe you got that idea when I mentioned “non-manifesting avatars.” I was saying that b/c in the trinitarian model God the Father and the HS lack physical bodies. Avatars are physical manifestations. However, the Father and the HS are still 2 other ways trinitarians view God and they are as distinct from one another as the avatars of Vishnu (his tortoise avatar isn’t his fish one). Perhaps, I was being needlessly complicated.
Mainly, I was hoping you’d see that “person” when used to explain the trinity doesn’t equate to “human being” or “seperate individual” as it would in any other situation.