Chrysolaras seems to have been the first professional teacher of Greek in an Italian university. By any measure the Italian Renaissance was well under way by 1400. He based his theatre on roman references, of greek tragedy. But still based it on greek tragedy. You miss my point.
Ancient drama has nothing to do with Byzantine culture.
And, second point, it seems that the tradition of Western theatre grew out of passion plays, and other paraliturgical presentations rather than being modelled on Anceint theatre. Opera is the clear exception . That is a very long discussion. I will leave it for another time. Perhaps, but it goes to the core of your assertions.