There have never been any discounts that week, with the exception of last year. Post 9/11, Disney's business was off significantly and they did have discounts and availability that week.
Things are starting to rebound so it is hard to say what will happen this year. If you are planning on going, you should look into what is available. Flights and rental cars also go quickly for that week (Florida overall is very popular).
It is one of the busiest weeks at WDW with among the largest crowds of the year. It is a wonderful time to be there but it is VERY busy.