All guns can jam. However a simpler design has less potential to jam.
Also, bolt actions aren't exactly the definition of simple.
A bolt action is simple compared to any semi-automatic gun. Particularly if it is a single shot bolt action thus dispensing with the complexity of a magazine feed.
They want to go to war with a simple design? Sure, they get a Lee-Enfield bolt action rifle. They fight against people with EF88 Austeyr.
They will die and lose the war.
Longer range, higher rate of fire, lighter, grenade launcher mount, scopes, more accurate, higher lethality, etc, etc.
Simple design so it doesnt't jam doesn't mean you've maximised all the other areas that are important for winning a war.