The people are risk pay less, all of the other people forced to participate in your general insurance pay more.
If I live in the middle of a city in an apartment block should I pay the same rates to insure against wildfire as someone in the middle of a dry forest? Probably not, but govenrment-mandated insurance programs force me to.
Premiums should be based on risk, not flat. I don't know where you are drawing that line of reasoning from. Just because the government is providing coverage doesn't mean it's all the same rate. Every insurance product has a risk model to set prices. I was just advocating that we have a non profit minded entity with deep pockets do it vs private companies motivated by maximizing profit.
Public benefit corps fit this model as do regulated utilities.