The free will question seems to be a red herring- philosophers and physicists can argue all they want about if something like free will is physically possible or not, but for all intents and purposes, even without free will, the path of someone overcoming, e.g. alcoholism after using these methods requires using them in a way that is challenging, and if you decide on the nihilistic stance that there is no free will so there is no point in ever trying to do anything, then you are guaranteed an undesirable outcome.
Perhaps beforehand it was somehow "pre-determined" which of these attitudes and paths you would take, but that is completely irrelevant for the individual just living life, they have no way to know that one way or another, or any reason to actually care, as they still need to act exactly like they have free will and made the right choice to actually play out a future as the type of person pre-determined to have a desirable outcome.
It doesn't actually feel any easier or less painful to accomplish something difficult, even if free will is some sort of illusion when looked at from the outside perspective. You still experience, e.g. trying and failing over and over and never giving up until you succeed.
I can buy that, for example perhaps there is something outside our control that decides if you are capable of never giving up, but you still cannot know until you decide to never give up and try it- so it literally does not matter except as a philosophical curiosity.
I think a more interesting biological (and philosophical) question is why and how exactly do these GLP-1 drugs work, and why exactly are they so shockingly effective? Maybe they do somehow act on the brain to offer exactly the same psychological benefits as the stoic approach I am talking about, by the same or related underlying mechanism, and they're essentially interchangeable but work more often?