Why should voters care if they pay the government for a service instead of private enterprise, if government can provide the service for a lower price? I don't

Why should voters care if they pay the government for a service instead of private enterprise, if government can provide the service for a lower price? I don't get why voters think there is something inherently worse with paying taxes than paying insurance companies. Taxes have the benefit that they can not typically be higher than your income, while insurance can easily be higher than your income. If you are sick for a long time with say cancer treatment and lose your job, then your insurance costs will quickly get higher than your income.