If you remove the ability for the truck to push, also remove it from All scout cars and light vehicles. There is no reason a Heavy Halftrack shouldn't be able to push infantry when a scout car can, it already takes damage from small arms, and a single shock squad can kill it in about 3 seconds while it's setting up.
Its almost as if people think a building unit that costs no resources should have no impact in battles. Hmmmm imagine that...