nor does having health insurance mean you are getting the health care you may need. so let's make that distinction from the get-go
(if you haven't seen my thread regarding SICKO -->
http://www.democraticunderground.com/discuss/duboard.php?az=show_mesg&forum=389&topic_id=2523349&mesg_id=2523349 )
Through my various jobs in my lifetime, I've been on various health insurance plans from the HMO type to those with high-deductibles.
I was more likely to go to a doctor under an HMO plan because I could afford the co-pay as opposed to the high-deductible plan where I couldn't afford to pay up front for the office visit/prescriptions.
about 4 years ago my partner broke her foot, she had health insurance - one with a high deductible and we couldn't afford to pay up front for the the doctor visit so she refused to go to the doctor. After a month of hobbling around, she finally went to the doctor, $50 to the doctor to have him send her to a specialist, $70 to a specialist to have him write her a prescription for a special kind of brace and another for some pain meds. (he didn't take any x-rays, just felt her foot. she was in/out of the exam room within 15 minutes)
She went to one medical supply place - they wouldn't take her insurance. A second medical supplier didn't carry the brace, but would have taken her insurance. The third place DID have the brace, would 'take' the insurance, but she had to pay for the brace up front and they would submit the paperwork to the insurance company for her. They wanted $500 for the brace.
She came home in tears and without the brace. I found the same brace on-line through a medical supply place for $75. We ordered it, had it shipped overnight, for an additional $25.
Total spent that day $220, which was not reimbursed by the insurance company because she hadn't met the deductible. As far as filling the 'script for pain meds - she didn't bother, couldn't afford to shell out another $100 for 15 pills. She got by taking OTC pain pills.
During this time period she was also suppose to be on meds for high cholesterol. That meant shelling out $200 a month, and (assuming she met the deductible for prescription meds which was separate from the other deductible) she would have to submit all the paperwork and then wait 2 months to be reimbursed for 80% of the cost each time she had the prescription refilled.
the point I'm trying to make is by making health insurance mandatory will result in plans that people won't use because they can't afford to pay up front for medical costs, which means insurance companies aren't going to be paying out but they will still be collecting the monthly premiums.