Here we also enter the philosophical with the paradox of the ship of Theseus
I believe that it has nothing to do with Theseus, whose paradox I would say originates from Heraclitus' river. We are not talking about a being that, due to temporary change, could supposedly be two beings; we are talking about a person communicating in two ways, and therefore appearing to be two.
Why me?
Because you are my alt (I'm waiting for Timelord 2067's tag on this).