I just got off the phone (12:30pm ET) and received an AP rate for the Polynesian (garden room $199.60/night tax included) for January 16, 2004 for 5 nights. I also just gave their requested info (name, zip), they looked up my household, I requested an AP rate and they checked several resorts for me.
Here's what I asked for and what I found out for some resorts at least during my call (at least for AP rates):
AKL - concierge was only thing available
WL - no availability
Contemporary - no availability
Boardwalk - no availability
Dolphin - no availability
Poly - rate I indicated above
So, I did nothing special either, but did ultimately find an AP rate which is at a discount.