I think they are slotted just about right in terms of schedule.
Sport is the perfect training ground for future Officers...all the Academies have incredible, lesser known teams, like the 150lb league in football.
We don't have any sail powered ships in the Navy but learning how to sail is, and I believe this, the best way to learn the bay then the sea.
Here are the Army and Navy football schedules:
Army
Navy
Not exactly the SEC.