you could claim taxation without representation if the government seized all your property, your right to vote and then continued taxing you. the very fact that your house is built with materials that were mined on taxdollar money, transported on taxdollar money, and the very food you ingest was processed and inspected by taxdollar money just so you can enjoy it doesn't equate to taxation without representation.
and yes, if nobody was paying taxes for healthcare, the drivers, builders, miners & inspectors that all processed all that stuff would probably be either broke, suffering, or with 5% chance, perfectly healthy. nobody wants to pay taxes for your stuff, and i doubt you want to pay taxes for ours. sadly, our society can't function without it. so if you want to every man for himself & duke it out in the forest with no medicine, infrastructure or people to help you obtain any of those things, by all means go ahead