That's quite alright.
On the exercise front, it might be just due to most people not finding "their sport". When people find exercise they enjoy, it can easily start taking up a lot of their time and fulfilling that physical/mental balance you mentioned.
I think a lot of people take up rather cliche sports/exercises simply for weight loss, and thinking of it that way just doesn't stick. Running is the big one. I love running myself and I know many people who also do, but it seems like the go-to "lose weight exercise", and a lot of people seem to hate it.
Sometimes the path to start a sport / exercise you love can be very strange. I was pretty out of shape last year this time and July/August I just spontaneously decided to walk home from work (1.5 hour walk) and that stuck as a daily thing. One of those walks made me mull over joining a gym, so I did that and have been almost every day since last August. The treadmill there shunted me onto running outside, and revisiting a sport I did when I was younger (orienteering), and sports kept stacking on top, as well as interest in nutrition and health.
I lost about 15kg, taking me from overweight to the lower/middle of healthy, with a lot more strength and I'm barely ever ill now compared to before.
I could easily have not walked home on that day and none of it would have happened. I'd probably still be overweight (and unhappy). It was just random really. I know that doesn't help most people, but it's what I've found with myself and others. A few people I've gotten to know through the gym and other sports is that the "kick" was either a health scare or being in a dark place, and using exercise as an outlet got them into a way better place than they were before.
You just have to be so careful not to relapse though. There can just as easily be a kick in the other direction, and I try to keep that in mind.