@Sean433 Many hosts take direct bookings from guests who originally stayed through Airbnb. Airbnb doesn't own the relationship between you and your guests once the Airbnb booking has come to an end. I let all my good guests know they can contact me directly if they or their friends (I'd only say this to those who I can tell woudn't send any bad folks my way) want to book again.
I would never make such arrangements, though, before an Airbnb booking has even taken place. I would need to feel assured that this is a hassle-free guest and that they weren't the sort of person who'd report me to Airbnb for booking off-platform (claiming that I suggested circumventing Airbnb) if something between us went sideways.
I actually just had a situation with direct booking- the guest booked a 5 day stay on Airbnb, then found more permanent housing. But the unit wasn't going to be ready for another 2 days, so he just paid me directly. Then a week later, his landlord found furniture infested with termites, and he had to vacate for a day while they fumigated, so he came back and paid me for one night.