If I'm lucky, the link is direct and destroying our world will immediately destroy theirs. But if I'm less lucky (or perhaps more?), the link is indirect, and loss of the world's computers will merely cause global chaos.
...But if ever someday a world of people comes to exist again, hopefully it will be more deserving of life than ours was.
Because if it isn't, there will always, always come someone like me to set things right again.