I have several upcoming reservations where I've paid to upgrade to a premium suite or have a standard suite at the cash + 6,000 pts/night rate.
I called to try and change these reservations to premium suites at 9,000 pts/night.
No luck at the following properties:
Andaz Maui
Hyatt Aruba
Hyatt Baha Mar
Concierge told me there is a separate 'marketplace' for these suites and participation is decided at the property level.
Additionally, only the suite one level above the standard suite is eligible for the 'premium' award.
YMMV