That's backwards, trucks are the cause of most road damage in the first place. Trucking companies should pay enormous fees to use the roads given the disproportionate amount of damage they do to them[1].

It should be cost prohibitive to use trucks for anything but local deliveries. Before you say "this will increase costs for consumers," recognize consumers are already paying for these roads.

1. https://roadtax.carlitelb.org/

Truckers pay for hundreds of thousands of dollars in fuel every year. They pay way more gas tax than you do.