I disagree
I actually think the JOATs best path is to do ONLY sheriff investigations and right at the end of round 2, latest time possible before nightfall, post their first two rounds on investigations and then hopefully survive to have a third.
I think the way it plays out the mafia have a 1/9 or 1/8 chance of hitting the JOAT(idk I haven't checked any of the OP breakdown yet just #posters) either way chances are low. JOAT makes it to round 2 and then posts right at the end.