One thing to consider is cause and effect. Mental health conditions often stem from deep-rooted needs and desires. The need for people to be founders, to get rich, to have power, etc... may stem from mental health needs that have been present in their lives for a long time. The entrepreneurial spirit can be a defense mechanism to ensure control of your life.
I'm not saying all founders are mentally ill - that would be an absurd stance. But I am saying that it is unlikely that being an entrepreneur causes mental health concerns on its own - it is more likely that pre-existing concerns may have led some folks to have the drive to go that direction in the first place.