That all depends on who's in control of the shutdown menu... a pandemic restart or a nuclear shutdown? I'm happier staying in hibernation.
Short of a catastrophic event far beyond "a pandemic restart or a nuclear shutdown", the world itself carries on regardless. Humans might not, but the world does. Ending
the world would require something far more extreme than ending humanity or even ending all life on Earth.
Off the top of my head:
1) Being engulfed by a star. Maybe Sol when it enters its red giant phase, possibly. Maybe when this galaxy collides with the Andromeda galaxy.
2) Being torn apart by a black hole. Maybe when this galaxy collides with the Andromeda galaxy. Maybe a rogue black hole moving around the universe, if there is such a thing.
3) A collision with enough energy to smash Earth to small pieces. Which would require another planet. Maybe when this galaxy collides with the Andromeda galaxy.
If I'm around in a billion years I'll start worrying about the possibility. So probably not.
EDIT: On the theme of treating the universe as an MMO game (you referred to a shutdown menu), have you watched Tierzoo channel on Youtube? It's comparative biology videos within the framework of treating the Earth as an MMORPG called "Outside". I think it's entertaining. Maybe start with the video "Are humans OP?" or "The Time Earth Glitched".