No, the Wedge cannot screw up your chops.
Anyone who spends a long time fighting an unsuitable mouthpiece, or who keeps changing mouthpieces in search of the holy grail that will solve all of their playing challenges, is bound to have, or develop, some issues.
On the other hand, trying any new mouthpiece few days will not cause permanent chop problems any more than trying out a new pair running shoes will permanently injure you for life.
There is no credible evidence that playing a rim that is not round and flat will ruin your embouchure. What possible scientific explanation is there for such a thing? Are we genetically programmed and designed to only play on flat, round mouthpieces?
Thousands of players have used the Wedge for many years without problems. In fact, we believe that by reducing pressure at the vulnerable points of the embouchure at 10 and 2 o'clock, and by discouraging the use of excessive pressure, the Wedge has the potential to decrease embouchure injuries.