[1]: https://www.goodrx.com/classes/glp-1-agonists/semaglutide-fo...
Source: currently using GLP and seeing reduced positive feedback from alcohol (incidentally)...
Makes sense
It could absolutely be a factor in the effectiveness.
Placebo is a highly effective drug.
I say this as an extreme evangelist of GLP-1s. Behavior modification and habit building appears to me to be a large part of it. Friends on it who have used to as a performance enhancing drug to change habits have generally stuck with newly developed habits even coming off the drug. Friends who used it as a magic weight loss drug largely returned to previous weights and poor health, even some maxing out the doses over time.
It's frustrating because if this combination of things doesn't line up, being busy so that I skip a workout and then drink a glass of wine to relax in the evening would be totally fine. But add a couple more variables that are out of my control, then a migraine will hit me and I can't do anything for two days.
I can see that a drug which reduced my craving for things like chocolate, coffee, wine, food - especially at times when I'm stressed and my willpower is low - might have large results on reducing my migraines.