I can give you a protip for dealing with this. No guarantees, but often the poker hand that leadership has is an ‘ok’ hand. Maybe two pairs, maybe one pair, sometimes just a high card, sometimes just two face cards. To translate, their hands are often not as good as you think. You may believe they have a three of a kind, or a straight (you will be fired), but the bet you have to make is most likely they got a modest…
- either you can, just be calm and act rationally / work within reasonable limit, focus on overall productivity.
- or you won't be able to catch up anyway
makes the case much clearer. I think there would be a category "you might or might not be able to survive, depending on how much work / luck you have" might exist, but the chance to fall on that sweet spot is quite slim.
I like your idea regarding the mind game about hiding/boasting the pressure.