We are staying at the Polynesian 8/24 - 8/30 ... and I noticed that all four room types at the polynesian are still availalbe for those dates - same with the GF - and it is only 35 days away. Judging by this alone, I believe there will be lower occupancy rates.
We went last year, same time, and while crowds were not 'light', it certainly was nothing like June or July. Florida kids are back in school by then, but weekends still get jammed. All in all, it is a good time to go if you can stand the heat.