The answer to your second question is "So I can re-live the experience of scoring 99 runs in a game of video baseball"  I haven't been able to do that on any other video baseball game I've had, without stacking the deck.  Even on Slugfest 20-03, with the big 4 cheats enabled "unlimited turbo, power up hitting, speed, and fielding" I've only been able to score 26 runs in a game.  
In answer to your first question, I would imagine they bring the right stick into play some fo the time.  Tron Deadly Discs would be a good candidate for that.  Left stick moves, right stick controls disc.  I don't know how the football play calling or the Baseball fielding would work, though.