They are not accountable to politicians though, not on a continuous basis. They are appointed by politicians for a fixed or life term. This is the important dif

They are not accountable to politicians though, not on a continuous basis. They are appointed by politicians for a fixed or life term. This is the important difference - elect politicians to well-paid full-time jobs of (among other things) appointing judges and prosecutors, and then let them spend the time doing it right, and then don't have those judges/prosecutors have to continuously be checking in with what the voters or the politicians who appointed them want, in the moment. That last part is key. But yes, if you have garbage politicians they will at some point start appointing garbage judges, garbage crown attorneys, etc. and the system breaks down. So, like, get better politicians (by which I really mean become better voters).