A year of exercise? Losing weight?
My dear, I did them both. I was on benefits. I was morbidly obese and lost all the weight. Not only did I start exercising, I started running 3x a week, gym 3x a week. Competing with long distance running. My transformation deserved a montage. As a bonus, I I also stopped smoking.
Doing these things did not cure me of my physical or mental health conditions, and in fact created more. I now have anorexia nervosa to contend with (developed during my weight loss journey) , along with the chronic fatigue and physical problems being worse than they ever were. It all came crashing down after a few years of doing what you describe, much worse than before - because my body and mind are sick, and no amount of calorie deficit, running, or avoided cigarettes will change that. And, as I learned the hard way, dissociating and "pushing through it" will come back to bite you on the ass.
You can't cure medical conditions with willpower, even if you become more palatable to onlookers.
Maybe treatment will help... I don't know yet. I'm on a waiting list!
I won't say I was healthier as fat and smoking as I was, but I'm certainly not better now and worse in many ways.