I've played couple of "infinite" matches.
I usually quit those, I'm here to enjoy myself, not to see who can click the same pattern more without getting his nerves raped. 2 or 3 times, my opponent quit before me though.
Also, as I see the term imported from other games, and so stupidly used all over the forum, not every quit is a rage quit. Only rage quits are rage quits. Keyword: RAGE.