The seasons don't perfectly match the crowd conditions, as rates are based on the day you check in and apply over the whole stay. So if you check in the day a season drops a level you may still have a hangover of crowds.
The particular week you selected--the week after Easter week--I attended two years ago, and had no problems. In fact crowds were fine by the Thursday of Easter week that year.
However, the crowd calendar I trust the most shows this as being a very bad week, for no reason I can discern...good luck!