“Does this mean the police don’t know which of either Pelosi or DePape opened the door?”
No.
The police had identified both individuals by the time the report was written. If it had been either Pelosi or DePape it would have been written:
“The door was opened by an unknown individual that was later identified as Paul Pelosi.”
It raises the question of why the person who opened the door hasn’t been identified. They certainly didn’t let him go, did they? Unless he ran off his name should be in the report.
While your story is more intriguing, once the perp started hammering Pelosi, situation was critical to secure the perp and get medical assistance. After that, Pelosi went to surgery. Too many holes in details without updates.
That's quick a trick for someone who was supposedly wresting with the nudist over a hammer and getting whacked with it as the cops stood by and watched.
I am sure the police would pull him aside for an interview and identity check...
Considering how wealthy they are, it is surprising they would not have at least one full time live in servant.