From my experience, evil kings win the games like 70%-80% of the games.
I had some games when we exed mm like day 4 or day5, and NK day 5-6, and we still lost because that wasnt fast enough and unseen got numbers by day 6-7 beause of evil king.
Also butlers can’t poision the king because every alch will heal the king if he is good or not.
I think king should be able to executed by day 3 and not day 4.
Day 4 is the first day somone get executed usully, and after that day there is no good chance to kill evil king.
most of the games, you just have to hope the king is good or natural.