I have only bought one potted peony and that was 2 yrs ago and it is smaller than it was when I planted it, no bloom yet. But that is only 1, so not much experience there.
I have purchased the bare roots through mail order from Homestead Farms Nursery and was VERY pleased. They were bigger than what I expected and they bloomed that next spring, even though the blooms were little and not 8" off the ground lol They did awesome the next year and I was really impressed with them.