Is it Airbnb's responsibility to verify the identity of the person standing in front of you? Im willing to bet that none of those hotels asked for that id in advance when you made your booking, and it was the person at the physical desk asked for it when you checked in, correct?

Also, how many of those hotels asked you what you did for work?

While she omitted the fact that she did sex work, she might not actually be lying about the real estate work. It's probable that's she has at least done that a couple of times, maybe infrequently, but often enough that she can say thats what she does for work to people who she doesnt know if she can trust with the truth.