Neither possibility really makes more "sense" than the other. And it's effectively impossible to prove experimentally -- in a "many branching worlds" universe, you could never conclusively prove or disprove its existence, even if you experimentally demonstrated this kind of "self correcting" time travel, as you may have simply created a branching universe where it appears to you that you did so.

It's metaphysical philosophizing as far as I'm concerned -- interesting, but not terribly applicable, and heavily influenced by one's own beliefs and preexisting notions about the world.