Have you ever...not pressed the button or ignore what you were supposed to do?

[SuperNova]

Yep, all the time. But not in the button press variety so much. But I've walked away from tons of supposedly tense and time sensetive moments in games, to just diddle around in the world, do sidequests, smash some vases....

The NPCs will be all: 'The fate of the World rests on your Shoulders! You need to face your Nemesis now! Hurry before it's too late!'
And I'll be like: 'Uhu...Hold on, I need to loot that. And possibly mow some grass for a couple of days.'

There's usually never consequences.