Originally Posted By Celsus⏩
This makes sense indeed, but still does not completely explain why he would fuk the two hookers and tell them he is Paul Allen right after he felt like the detective was on to him? I thought he might be trying to create some bad name on Paul. You know, he disappeared, had been fuking hookers, etc.

Also, who was the limo driver, driving Pat? Surely not a good way of Pat to stay undercover talking to the hooker like that saying his name is Paul Allen. Maybe it really didnt happen?
He was using a fake name so that the hookers wouldn't know who he really was. The second time he was even at Paul Allen's place just for that reason.