The EU will allow a US vehicle to be present inside EU borders for 6 months out of every 12, so in theory if you're willing to pay for shipping back and forth, yes you could do that. The shipping is not cheap though, and would not be even remotely balanced out by the difference in registration costs. I am fairly sure that the UK (for example) actually charges more. My understanding is that the cost of making your US vehicle legal on a permanent basis in the EU is really substantial.
But I think you may have misread what I wrote as applying to you (as a person) as a tourist. That also happens to be (roughly) true, but it wasn't what I meant. The UK wil give most US citizens a 6 month entry permit on arrival. You can leave and come back and often (but not always) the clock will reset. When we were there last year, my wife (US citizen) got her 6 month stamp, we stayed in the UK for 2 months, then left (in the van) for Spain & France. When we arrived back in the UK two months later, they restamped her passport. They didn't have to do that, but we had been out of the country long enough that I think they opted to do so.
Most EU countries will only give a US citizen a 3 month entry permit. In theory that resets when you leave the Schengen zone and re-enter, but doing that too frequently will get them agitated about what you're doing.
