Mental health is no laughing matter and that article must be read with caution.
Multiple things immediately came to mind, mostly concerning the article and the pop-science (read: inaccurate) way that it was written. The title is a click-bait, and there are plenty of implications that simply are not vetted, not even in the submitted paper that it referenced.
Firstly, the research paper the article referenced has not passed peer-review. The writer jumped the gun and quoted it as so.
Secondly, the research paper clearly stated that the data gathering was of a self-reporting survey. It had no objective measure of the entrepreneurs' "success", or even a clear definition of an entrepreneur. I did not see how the research verified with those who self-reported symptoms. Combing both self-identification with self-reporting, the error bar would be significant.
Thirdly, there are many correlation/causation problems in the article. And that's dangerous.
Our mental health treatment system in the United States is grossly inadequate, especially for the less privileged. The level of stigma associated with mental illnesses needs to drop to the level where people understand that it is no different from physical illnesses.
In short, while this is interesting, it must be read with a grain of salt. Entrepreneurs are not the only ones who need more care for mental health issues, everyone needs it.
As for it being a "predictor", that's not anything that you could imply based on the article linked.