Will power is still required if you want to lose weight. Some say the drugs help with 'food noise' which may well help with addressing greed (as you put it) although thats not my experience so far.
Although I've had some success losing a bit of weight with Mounjaro, I am in no doubt that this will taper off if I don't get my act together around snacking and exercise, and that is the only way the weight is going to stay off when I come off the jabs in the future.
I've been on Ozempic for about a year, prescribed for diabetes rather than weight loss. I do notice that I eat less at mealtimes but it doesn't do much to stop craving the treats between meals. You still need willpower. As it happens, I lost 50lbs by willpower alone before starting the injections, now I'm just maintaining a decent weight. My blood sugar levels, however, are back to normal, so there is that.