That seems overly simplistic. Sometimes it's easier to get motivated if you have already seen the results or what the taxes/regulations can do.
It's much easier to be motivated to pay taxes for public health care when you have seen it first hand, and not just listened to a politicans pipe dream.
It's even easier if the person needing help for health care is someone who you relate to intimately, like your best friend/parent/brother/child.
Where in a country of low taxes you'd be able to afford to provide care for your close ones out of the goodness of your heart, in a country of heavy taxation, it's much harder for you to do this. The inefficiency of government benefits and subsidies inflates the cost of health care on one hand, while inability for policies to customise benefits per patient means often benefits are distributed unfairly.
Where in a communist nation the government reduces inequality by making everyone poor, a nation that taxes heavily to provide universal benefits reduces inequality (of family connections) by making everyone face their problems alone, with only the help of a regular bank deposit from the government as well as the occasional union with a family member. It divides us from a strong network with many connections between each node to one of spoke and hub, where the spoke is an individual and the hub the state.
Sometimes you might feel lonely and have no one to turn to, even as you have dozens and dozens of friends. This is why.
If that's true then the free market - motivated by greed - must be the most evil institution imaginable. As Adam Smith put it, it is not from the benevolence of the butcher, the brewer, or the baker that we expect our dinner, but from their regard to their own interest.
