Earlier quoted context omitted.
That's not really the view from a city budget. Cities don't have that many truck routes and their costs are dominated by maintaining streets where virtually all the traffic is light vehicles. For the state it is a bigger problem because almost all state route are truck routes.
Even then, the same phenomenon means that the dominant source of damage to those streets is the delivery vehicles; smaller cars still cause a disproportionately small fraction of the damage and are overpaying via taxes. Ubers are not externalizing here.
Without some sources to back up your claims, I'm not sure if it's accounting for that or not. Can you supply your sources so we can look into exactly what that statistic means?