I thought it was more that we are just following the story in one of the very lucky universes that has no paradoxes.

That's like saying that we live in one of the very lucky universes that follow the laws of physics.

It's not entirely inaccurate. When you talk about stuff in math, it's common to do something along the lines of taking a universe of sets, and narrowing them down to the one you want. We take all possible universes, then ignore the ones that don't start with the big bang, then ignore all the ones where any moment contains a violation of the laws of physics, and we end up with our universe.

If a paradox is created, the universe ends. (or never was; depending on how you think about it).

Those are two very different things. One results in entire universes existing before being destroyed. The other only involves one universe.