he would have if he had been invited. just like anyone would have.
If you are invited to stay somewhere you can consider the person to not be imposed upon. They are volunteering, not having someone expecting to stay without giving notice beforehand.
Do you think he was really expecting to impose on someone who really doesn't know him for the most part?
I probably would have. Not that that's any
great deal.
I would only do that to a relative that has done that to my family on short notice before. Do you like people just coming over to stay at your place without warning?