In short, I agree. You probably should view having your own company as an opportunity to live right, rather than an excuse to live terribly. Maximizing health and happiness is probably not a bad way to work towards success, as long as "happiness" does not involve lots of vacations and living beyond your (probably very limited) means.
Obesity comes from people allowing themselves excuses. "I'm not going to work out today because I have to get this code shipped" would just as easily become "I'm going to just eat at McDonalds today because I have to get home to take the kids to baseball practice" if they switched professions/lifestyles.
Sickness (eg influenza), alcohol, and lost sleep have had a far greater impact than work of any kind. YMMV though, I've never been overweight in my life and have never been a heavy/frequent drinker. Ultimately I think it depends on how you manage time and whether you prioritize exercise and diet.
I found this to be exactly the reverse in my case. Even when the company I work for has problems with payroll, the stress is trivial compared to the stress of running my own business. I'm working an 8-5 job right now after years of startup/small-business life, and ~45 hours a week feels like a constant vacation.
Working a job was the worst thing I ever did for my health. Now that I'm at a startup, I get plenty of sleep and exercise and eat healthy, home-cooked vegetarian meals. And the stress involved in working for myself is so much less that that of working for a PHB... I could never go back.
In the last two years, I've lost 50 pounds. I recently completed my first century. I'm in the best shape of my adult life. I sincerely attribute all this to being my own boss and setting my own schedule. Am I really the only one who finds the startup life superior???