Correct, and a lot of that depends on the state you live in. Florida doesn't have constables and I don't think they ever have....Texas however has constables and from what I gather they have broad powers and influence there...Maybe somebody from Texas can comment on that?
I know that I remember one elected Tennessee constable decided to start running radar on I-40 and then doing vehicle searches. He could do it, I guess, but why? Big liability and out his lane. The Sheriff of the county complained, but the constable said stick it...SO, it went up the chain to the Tennessee Highway Patrol, who then back lobbied the county commission to eliminate the office in the next election, which they did..
They probably just should have voted to impeach and remove him and leave the office itself alone, but you know...Painting with broad brushes and all. I would assume that the county attorney told the commission it was a liability, (which it was), but the constable had his own bond. The county would have ended up on the hook for a lawsuit from that goofball.