The FedEx online app counts V22 time as pretty much everything, airplane, multi, over 12.5, glass, helo, etc. I did two interviews advertising it as fixed wing time. Never got questioned about the time other than how it was to fly. If I had to defend including it in fixed wing time, I was going to say the FAA definition of it is a fixed wing that can take off and land vertically and that the Harrier also falls under powered lift now but has traditionally been counted as fixed wing.
As mentioned the hurdle is getting the time for the ATP since you need the 250 hrs fixed wing PIC. Possible routes for that, Civil Air Patrol, flying club, rent the time, or buy a cheap 152 or something to time build on and sell when you're done.