Hi Grover -
The PO FQ only has one hot tub. It isn't huge but I don't recall it being small, either. At times it is crowded. However, we have found during slow times of the year one can usually get into the tub pretty easy. It will also depend on exactly when you go. I think the hot tub is open until midnight. So the later you go...the fewer people you will encounter.
We found that right after the park closes, depending on the day, when families are returning to the hotel, it gets crowded. If you can wait for a little bit after that it usually clears out.
Plus, it may depend on the weather. If it is fairly warm fewer people will be in the tub. If it turns cold on you then look out...it will definitely be crowded.