However arguably humans existed from tens of thousands of years and only really started to make huge technological leaps when writing existed. Prewriting culture is still quite fascinating and complex (ex: Homer or Olmec/Maya art) but it does seem to be stuck at a certain level.
I think Egyptian civilization provides a fascinating mid point where there is writing but it's not very accessible... And Egyptian civilization is slow to develop (it's also very weird they don't have their equivalent of Homer or Gilgamesh)
i'm not sure if this is the case or not but if it is lack of evidence may not be evidence of a lack! they may have done and it may have not been transmitted to us
There are for instance Greek plays that are of the form you imagine. Where they're important, referenced, and no surviving copies exist