There’s an interesting effect to consider: in the current situation, centrist politicians can use their role as tie-breaker to get the best result for the state

There’s an interesting effect to consider: in the current situation, centrist politicians can use their role as tie-breaker to get the best result for the state they represent. Assuming RCV benefits centrist candidates, a state can improve it’s leverage by switching to RCV. So you don’t need to convince people that it would be fair to switch to RCV, just that it is in their best interest.