Agree with WOD, management have nothing to do with the pressure, and by the way, if you crash and it is found that you said yes under threatening circumstances or harassment then the harasser is in deep poo poo. That is why you will never have management directly say, do the duty or else and why if you simply say no, there is nothing they can do.
Problem is though you may be stuck in an outport and have to deadhead on your day off, thats how they get you.
EVERYONE SIMPLY SAY NO IF YOU ARE FATIGUED, MY KIDS COULD BE PAXING ON YOUR WATCH.