I've never had any interaction with the government that was even 1/4 as screwed up as the health insurance/hospital pairing. It's astonishingly bad.
I can only conclude that the people saying things like "think healthcare sucks now, wait 'till the government's in charge!" have never actually had to personally deal with the healthcare system.
Actually, the only thing that's hit the "1/4 as bad" mark is the health care exchange, and my problems with it are chiefly attributable to 1) no standard Internet-Age-friendly national ID card or similar, so identity/citizenship issues are still ad-hoc "send us a fax and mail us a copy of your drivers license, social security card, and birth certificate" nonsense, which is a problem with far more than just interactions with government, and 2) private health insurance is still a major part of the picture.
It's like a machine to generate stress and take your money, with treating illness as a side effect. I'd gladly take single-payer over the dubious and mostly not practically available "freedoms" our current system affords me.