Let me tell you the reality behind the universal health care system.
Personal experience. When I was living in Canada, I and one other family member went to the emergency room late evening. Came out in the morning without ever seeing a doctor, waiting over 8 hours. We kept asking the nurses when the doctor's going to be there to which they replied 'we don't know'. At around 8 hours of waiting, I again pleadingly asked a nurse how much longer she thinks we needed to stay there just approximately, even a guesstimate is all we wanted, and the nurse replies 'it could be hours... we don't know anything'.
We got out of the emergency room after signing a waiver...
If that's the health care system you envision, then by all means..