The problem is, most people aim way too high in their weight-loss target and sending their bodies into starvation mode, which will lead the body to reacquire the lost body fat as soon as possible - aka when people are happy with their body weight and scale up their food intake to caloric neutral again.
There is no such thing as starvation mode.
If you consistently don't overeat, you won't gain your weight back.
GLP-1 makes you want to eat less. So you are correct.