Maybe, but more likely no. Path of least risk and resistance is for them to declare it internally to be kept quiet. An army of internal counsel would be telli

Maybe, but more likely no. Path of least risk and resistance is for them to declare it internally to be kept quiet. An army of internal counsel would be telling everyone in the room to keep their mouth shut to prevent everything from PR issues to actual legal threats. They don't even need a gag order, they'll do it willingly.