You'll have to be more specific than "EU" because I've never seen an American-style SUV in Western Europe. Closest I can get is a crossover SUV like a Mercedes GLA.
I was actually thinking about these SUVs this morning, as their were two Cadillac Escalades [0] parked on my block in central Stockholm as I walked my kid to school. The town is *full* of these types of vehicles (there are even full-size Hummers driving around).
The "EU" can't be characterized in this uniform way - the different countries are totally unlike each other in so many respects. Because Sweden is part of Scandinavia, people often think there's a cycling culture here for instance - but that's also totally untrue. The same is true of our gun-crime - with criminal gangs frequently shooting each other on the streets: such a thing was virtually unknown to me throughout the time I lived in central London.
The true picture is way more nuanced than the Europe vs USA binary that people like to imagine.
[1] https://www.theguardian.com/environment/2021/apr/07/stereoty...
But the noticeable presence of SUV and even Pickup models I usually associate with the US in Sweden also surprised me. Those are rare in Germany.
I see several of them every day here in Sweden. And I saw at least as many last time I was in London.