What I am saying is that because of capacity controls at Marriott a few rooms at each resort are allocated for award stays. Blackout dates also create problems during events and holidays especially for longer stays. If the hotel is very popular and is selling most of its rooms it may not allocate many rooms for award stays. Marriott allows you to get around the blackouts and capacity controls on award stays but you must pay a premium of fifty percent of the points. A seven night 130,000 point award may never be available in London or Paris or Hawaii in the Summer. However Starwood has no restrictions.

As a Hilton Diamond I was turned down for an award stay in Paris and Rome, even though rooms were available for purchase. I must admit alternative dates were offered both times. This only happened twice in probably 25 award reservations so it is not common.

I do not know much about Hyatt, I worked on the Island of Saipan (north of Guam) ten years ago and stayed in one for six months. It was on a negotiated rate and I did not get any points. Can not remember staying in one since.