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On a PC, it's more or less ok, because the keyboard is a lot more stable allowing you greater proficiency at button bashing, whereas the gamepad is most commonly hand-held, and therefore the technique is somewhat more difficult.
Therefore, if the sub-games were short enough, then they could be an intrinsic part of any good console game, but not as an entire game per se. Plus the fact that you have turbo fire buttons on a lot of joypads and joysticks these days makes it far to easy to cheat.