@Julie0
My experience has been similar to yours. So far, Airbnb has always taken my side when I've had problematic guests to deal with, most recently cancelling a booking from a non responsive guest and paying me in full.
I was also worried about what would happen if I ever needed to claim for damages as you hear so many negative experiences on these forums. However, when I had to do this for the first time recently (guest broke my expensive front door lock and did not want to accept responsibility), Airbnb refunded me the full amount for a replacement. I have no idea if they took this money from the guest or from their own insurance as no details were given, but the cost was more than my deposit.