There are some perfectly reasonable arguments against the cost-effectiveness of mandatory vehicle inspection, but I have some doubts about the validity of those arguments. Road safety and traffic law enforcement involve a lot of complex interrelated factors; Creating a culture of road safety is difficult to distil into discrete interventions.
There's a libertarian argument that driving a car with bald tires is a matter of individual liberty, but obviously that's a vastly broader argument than the question of mandatory inspection. If you're going to have laws against driving a car with bald tires, it's less onerous and more effective to primarily enforce those laws through administrative rather than criminal justice mechanisms.
https://en.wikipedia.org/wiki/List_of_countries_by_traffic-r...