It doesn't really work like that. The way it was explained to me, it slows your digestion down so you feel/are fuller for longer. It took a lot less for me to be satiated and effectively eliminated any kind of binge eating, but it wasn't because it made me nauseous; I just felt full. Once I got off the drug, I started eating more again.

There are side effects, especially initially with loose stool and some nausea, but generally they don't last. I'm sure they persist with some but that's effectively every medication. The goal isn't to change the relationship with food where it makes one physically ill when seeing or eating food

EDIT: My experience is with Ozempic, not Mounjaro. They may work differently

It seems strongly linked and such links are quickly extinguished. If there is a delay and randomness on getting sick it’ll be weakly linked and more durable.