When I left I don't think it was the done thing for pro-innocence people to call it a confession. Endless posts were dedicated to arguing the point mainly I think on the grounds that it was couched in dreamlike language and shouldn't be seen as having, or having been intended to have, any basis in real events. Some things at least have changed. If we ignore the parts about them being innocent/guilty then I am happy to agree that there are similarities.
I'm probably quibbling, but it isn't true to say that there was no connection. The connection was just minor.
Clearly that is disputed.