She survived a fall that is impossible to survive, was miraculously cured from her blindness and can tame attack-dogs.
Then they do the dance and, as if guided by an invisible stream, nobody gets hurt except for The OA.
Then she dies, her favorite means of transportation, which will bring her to Homer.
I think the confusion about whether her story is real is actually just the confusion of the listeners. The story we heard is the story as the listeners interpreted it, which is why Alfonso saw himself as Homer - he identified himself with Homer.
I think it would be a stretch for her story to not be real at this point. Unless, as in American Psycho, everything is neither true nor false but purely symbolic.
Edit: Or maybe miracles happen in the show, but the ones she is talking about just happen to be made up. Which would be quite the odd stretch.