The error is thinking of ratings as a ladder system when it's not.
If you mean what if a lower rated player scored well in a match against a world champ, the champ would lose a lot of rating points, and the low rated player would gain many points, but there would still be a large gap, with the world champ still on top.
Unless they played 100 games and the lower rated player won them all or something like that.
This is unlikely to happen, but I'd like to know anyway:
Supposing one player plays another player, and wins most of their games.
What if the losing player has better results against the rest of the world than the player who won?
What would the ratings look like?