I was at Paul's Wichita concert in 2017, and a member of his crew told me that Paul no longer stays in hotels during his tours, but immediately flies back home after each concert (which, as Nancy said in a previous post, is to a home base in either NY or LA).
The crew member told me this after the concert was over. There had been speculation among the fans in Wichita that Paul could very well be staying in the same hotel as we all were... When checking in we saw Rusty, Abe, Brian, and Paul's personal assistant (who took John Hammond's place) in the lobby and elevators... and the crew had a bus parked out front with an "MPL" sign. There was a "Rock Star Suite" in the hotel that Neil Diamond had just occupied, so it seemed logical that Paul would stay there too.
Because of this, there were fans (well, I should women) who were always hanging out in the lobby, or sitting near the elevators and exercise room.
Most of them weren't registered at the hotel. The lady at the hotel registration desk (an older lady who was very kind) told me it was becoming a problem, and asked me to tell them "He isn't here".... The guy working next to her then added cautiously "Even if that may not be true..." She shhhshd him and all I could do was put my hand to my heart and think I stopped breathing for a sec, wondering if Paul was in the building. I don't think I would have been a "Rosie" from the I Wanna Hold Your Hand movie, yelling "It's Paul!" if I saw him or his cardboard cutout... but couldn't help fangirling for a sec 
Anyway, not judging any fans there for wanting to see Paul... I'm in no position to judge, I myself made several trips to the lobby throughout the day... hoping people would just think I went there to get another free cookie....
But if he had come downstairs to take a walk or bicycle ride, I wouldn't have approached him or tried to talk to him at all... I think fans just wanted to be able to create a good memory, and to be able to say, "We saw Paul, he was nice and waved to all of us." or something. Just adds a little ray of sunshine to our day.
Anyway, I guess the point I'm trying to make is that for the above reason, the fans waiting around, the possible lack of privacy, etc., I can understand why Paul may feel more comfortable staying in familiar surroundings. We probably shouldn't have WANTED to see him, and just busied ourselves with seeing the sites of the town, or just stayed in our rooms... but--- it's Paul 