In Europe, I would say the opposite is happening. AirBnB is being pushed out of or held down in many cities by local authorities. In the last two years I have stayed 50 nights or so in rooms booked through Bookings.com or Hotels.com and only 2 nights in rooms booked through AirBnB, and it's now almost two years ago. I had a good stay in the ArBnB booked apartment but the only reason I used AirBnB in the first place was that I couldn't find a hotel in the city since all hotels were booked. Most people I know have never or only once used AirBnB.

AirBnB is fun to try but I wouldn't rely on someones apartment for my vacation.