Would it not be smarter to vote me out so I live?
Here's the scenarios: Vote me and I'm telling the truth, confirmed Town lives (well I know I'm confirmed Town, you'd just known I'm not Mafia). If I were Jester, you get rid of one neutral who probably kills a Town. Net loss of 1 Town but also 1 less Neutral to worry about later.
You don't vote me and I'm telling the truth, you lose one Town. Don't vote me and I'm Jester, I live but now I'm outted Jester so you just have a dead weight neutral actively voting against Town and raising majority numbers.