That being the case, isn't exercise still very important to overall health - even if you're at a healthy weight? (Personally, I've never had any weight problems regardless of diet, but regular exercise makes a big difference in how I feel.)
Exercise is incredibly important for our health. It mitigates or even reverses ailments tied to lifestyle choices. To use myself as an example I have a bad shoulder as a result of stupid amounts of online video games (MMOs...) and every Thursday for the past two months I have specifially worked out the muscle group that's causing me pains in my right shoulder. And what do you know, after the initial muscle soreness goes away I feel slightly better and less sore. If I stop my regular exercise, the pain comes back.
I used to suffer from depression and anxiety. Meds didn't really help and I changed my lifestyle around. It helped. I do agree with you, exercise as well as diet is incredibly important if you want to feel normal.
Sure it is good for your health. If you are obese I think it may nevertheless often be better for your health to direct will power onto your eating habits to loose weight instead of using using that willpower to force yourself into exercising thinking it might help you achieving the former.