The problem with SUVs (and EVs, which are also heavy vehicles) goes way further than your leader indicates (“SUVs are too big and too dangerous – their drivers should be made to pay”).
Tyre and, to a lesser extent, brake degradation is related to the weight of the vehicle: not in a linear way, but to the square of the weight, so doubling the weight increases wear and tear four times, other things being equal. Tyres are the main source of land-based microplastics entering our oceans, where they absorb and concentrate forever chemicals discharged by our environmentally reckless water and pharmaceutical industries.