I’m with Boiler. There’s no evidence whatsoever the company is looking to fire people who drop trips. If anything, it minimizes your exposure. Sure, could it come back to hurt you, sure but that’s true for anything here first year. As the saying goes, “First year they can fire you for anything, after that they can fire you for everything”

Just do you job and keep your head down. If that includes posting trips on the trip board, so be it.