Many health insurance plans have specific exclusions that eliminate your benefits for anything that could have been covered under Workers Compensation or similar laws. Now read that last sentence again.
COULD HAVE BEEN COVERED!?
That is correct. Most self employed people and even some small business owners do not carry Workers Comp on themselves.
There are designed insurance plans that will cover you on and off the job — 24-hours a day, if you are not required by law to have Workers Compensation coverage.