Lots of times you can bump the pistons out past the ridge, but that isn't doing the pistons any good. One of the things that determines the result of a re-ring job is how well they fit the grooves in the pistons.
The main reason to remove the ridge is if you're not replacing the sleeves. If the ridge stays there, the new top ring may be damaged when it comes up against the ridge. The ridge and the old top ring were sort of a matched set, but the new ring will hit the base of the ridge.