I did not try it yet, but I read that you can set up direct syncing between Airbnb and the HomeAway family OTAs. I did not get to the point of seeing if Booking.com or TripAdvisor / FlipKey do this as well.
I kind of assumed this would be iCal, but not sure whether this is advisable or not advisable (interfere with?) when using the ownerrez syncing...
You can't set up "direct" syncing between HomeAway and Airbnb in the API sense but you can with calendar syncing, yes. That's just something to keep one side updating with bookings/blocks from the other. We don't recommend doing that however. Instead, we recommend treating OwnerRez as your "master" calendar and syncing out from there. So all channels should sync/import into OwnerRez and then you use a single calendar export to sync out to all channels/listing sites.