There are plenty of trucks in Europe. There's even a whole computer game series based around it.[0] Lots of Europeans go on driving holidays. They even take caravans ("travel trailers"). Caravans are so common that they're a running joke on popular car shows like Top Gear.[1]
It is true that generally people don't tend to drive as long distances in Europe as they do in the US, but it's not unheard of to drive 1000km on holiday. It's not as if everyone in Europe spends their lives pootling around cobble-stoned towns in Fiat 500s with a crusty baguette sticking out the window. There are large highways and plenty of heavy traffic.
I think the difference is that people in Europe tend not use their oversized vehicles as daily drivers. Many people don't even own a large car at all, preferring to rent or borrow one for specifically when they do go on holiday. Driving a large car seems like less of a status symbol in Europe. I don't buy that it's a safety thing for Americans, when most Americans are just driving their SUVs to the shops or to work every day.
[0] https://eurotrucksimulator2.com/
[1] https://www.youtube.com/watch?v=kNTnrpL1Uw0