The fact that it's treatable with a drug should have put this nonsense to bed.
I don't gain weight when I eat more food. That occurs regardless of whether I'm exercising heavily or literally not leaving bed and ordering food via delivery. My basal metabolism takes care of my weight management. The flux is mostly in muscle mass.
Similarly, I have friends who will precisely measure their diet and exercise, gain a pound or two, and then have to work for weeks to burn that off. If I had that metabolism, I'd be obese. I don't, so I'm not. They took Ozempic, reduced their weight, reduced their inflammation, and then stopped taking it. They rebounded a bit, but nowhere close to where they were originally, and are now reset to a healthy weight. (More significantly, their diet changed because of the obesity going away. They crave fruits and vegetables more than processed carbs.) The effect is similar in type to what I experienced when I got a shot of penicillin for strep.