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.