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There are certainly many people who enthusiastically lift and are still fat and unhealthy. The same cannot be said for running enthusiasts.That's mostly because running when you're overweight is murder on your joints. There are, on the other hand, plenty of overweight cycling enthusiasts.
I've rarely seen truly overweight people who spend much time lifting weights. Overweight people in general are not exercising much unless making intentional and significant progress toward the not-overweight category.
With that said, some people do lift enthusiastically and are happy to stay an a somewhat higher weight because they prefer to be "bigger", but these are not typically obese people. They're generally on the upper end of normal or slightly into "overweight" BMI, which is misleading/inaccurate for people carrying significant muscle anyway. Carrying some extra fat is also less of a concern for people who are doing significant amounts of exercise (cardio or strength). Sedentary and skinny is probably not healthier than active and chunky.
It's also worth noting that you can lift "enthusiastically" for 30-60 minutes 3 times/week and accomplish a lot. If you're a running enthusiast, you're sinking a lot more time in it than that unless you're actually doing sprints (which is more similar to weight lifting than it is jogging). Running enthusiasts are doing things like training for marathons/half marathons, which is a huge time sink.
