My theory is that Rapunzel will live and The Baker's Wife will not cheat...but Cinderella's Prince will sleep with Rapunzel.
This sullies the prince but keeps our "heroine" guiltless. "Moments in the Woods" if it stays, will be in response to seeing the prince cheat...reworked a little obviously.
Rapunzel can't be killed since "Tangled" is a brand...she certainly couldn't commit suicide like she does in the show. And while it clearly sparks a deeper meaning for "Children Won't Listen" having Rapunzel completely shun her mother, perhaps even more vehemently and/or violently than she does in the show, can still spark that moment.
Obviously not as good...but it certainly doesn't ruin it. There are many levels between not as good and completely ruined.
Baritone in search of a role in a new musical...