Once again, that's the entire point of the insurance company. They balance impact and likelihood.
Even if I had the insurance to cover me, you're still going to get slightly higher insurance premiums. You're actually more likely to receive a higher delta because I was covered than I wasn't, as the hospital will recoup its losses across all insurance providers, while the insurance company will recoup across only their own constituents.
The health insurance system is an oligopoly that allows insurance companies and health care providers to collude to set artificially high prices. Drug companies, hospitals, surgeons, medical schools--they all get their payday and the insurance company gets to make a "small" percentage margin on top of it. Which just so conveniently means that they're some of the most profitable companies in the world. Just look at the bottom dollar. If they weren't making out like bandits, they wouldn't be making out like bandits.
It's specifically because of ubiquitous health insurance that health services prices are so high. If more people covered themselves, the price of services wouldn't be high, insurance payouts wouldn't be so high, and thus insurance premiums wouldn't be so high. I'm actually doing you a favor by sticking to my principles.
EDIT: and regardless of all of that, nobody has the right to mandate what others do with their lives. I could have chosen to be a burger flipper for the rest of my life and your argument would of social impact would still hold, even be worse because society would be out my higher tax revenue.