No, if that were what it meant, it would be the REVERSE of the time when Fox would axe them. It's probably an internal Fox deadline that says "You must decide by May 1 that you aren't going to run this cycle or you can no longer appear as a commentator on Fox till you DO commit to staying out." Wonder if any of the networks with greater actual levels of bias, but on the acceptable side, worry about crap like this.
So we know Huckeabee’s answer: he’s not running, otherwise he would have been terminated by Fox also.