I see that differently. Ballpark, that car causes 16 times the road wear of a car half its weight. Assuming comparable road usage, why wouldn’t its owner pay more to the government?
And that ignores other externalities such as pollution, risk to pedestrians, etc.
I think city councils should even seriously consider banning such cars from busy city centers, like quite a few cities (mainly in Europe) do with older Diesel engines (https://en.wikipedia.org/wiki/Low-emission_zone)