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While it definitely contributed to it, the trend towards SUV/crossovers was already underway[1][2] far before with CAFE standards[3]. It's also just higher margins for the auto companies (mostly similarly priced components, but upcharge for size), so they've been pushing it everywhere. While not drastic as US, the same trend can be seen outside US even without the same laws[4].

[1] https://www.calculatedriskblog.com/2018/05/the-changing-mix-... [2] https://advocacy.consumerreports.org/research/the-rise-of-th... [3] https://en.wikipedia.org/wiki/Corporate_average_fuel_economy [4] https://www.forbes.com/sites/judeclemente/2019/10/23/suvs-a-...