You'll just end up on another list for the next election cycle. It's marketers - no one is forcing them to respect STOP replies, and a STOP reply is just another data point.
I don't fault your cynicism. There has been a lot of "looking the other way" lately.
Not even the next cycle, as far as I can tell if you say stop or unsubscribe, the political spam mailing list system adds a new candidate to the ~8-10 candidates they keep you loaded with