Ya'll are missing the point that I keep saying where my ticketed guests could NOT book park reservations when me as an AP holder could, using the resort reservation option. So it can't be the same bucket. If it was, it would be the same availability. But we did not. The AP holder, me, had more park opening options than the ticket holderThat is because you are both in Bucket #1.
If I am right, then annual passholders staying in resorts use the same bucket as ticketed guests — bucket#1. What we are talking about regarding passholders having a tougher time getting reservations is when passholders are in bucket #2 because they are not resort guests, ie locals, staying with local relatives or properties not in the bubble of Disney resorts or Disney good neighbor hotels that have Disnet bucket #1 privileges.
I've never tried to book without a resort stay so I have no idea how that works.