I don't understand. I am self-employed and I have insurance....I just go buy it online.
There are legions of stories of insurance from reputable companies (BCBS, etc) that fail to deliver value when they're needed. Theoretically, ACA holds the issuers to standards that guarantee service.
In combination with all of the above, this ends up being more expensive. There are other causes as well.
I've been self employed since getting off my parents insurance, have always had health insurance and never had trouble getting a policy.