I specified "fast twitch action", not just action. For instance, both of the open-world action games you mentioned are single-player only, so issues like lag and slowdown are less critical. Also, enemies in those games are almost always slow-moving- definitely no fast-twitch required.

For fast twitch action (not shooter), I might include things like street fighter, where button timing and reflexes are critical. Most 2.5d platformers I've seen would not suffer that much for the occasional dozen-millisecond GC pause. In fact, many of them have worse pauses than that for less prosaic reasons. ;-)