I guess it is like everywhere. If crime is not profitable because you almost certainly get caught and killed or jailed it will cease. That's why we have no robbers here in the safest city of the world. If criminals can roam freely without punishment, things become like in Europe or the US.
So Cat says if they are not just criminals but part of organized crime we can not let this slide. But it is difficult. She is basically a Robin Hood herself and for nobles not just a criminal but a terrorist and revolutionary.
Cat is a folk hero with Rustic Hospitality, maybe she can knock some sense into them. Last try. Then Cat could still punch them out again, strip them of their weapons and drag them off the road. The problem will soon solve itself.