When you consider the totality of costs, inside and outside taxes, European healthcare and education is significantly cheaper for comparable or better outcomes.
I'm not framing it as free vs paid. I'm framing it as public vs private. The public sector just does some things better.
No one in Europe is under the illusion that public services are free. This is a complete strawman. But they are much more cost-effective than the alternative, a lot of the time, and provide universal services to everyone and help maintain the social fabric of a society.