Very surprised more airlines don't have policies on the fuel adding. I can't remember Republic's policy, but I do know there was one. Here at Allegiant though, there's pilot discretionary fuel. They can add up to 1k without notifying us. If Its 1,001 lbs. then they "are supposed" to contact us and we can have a discussion, and then amend the release. It even blocks the crew from doing their W&B if their departure fuel is over 2,000.
Back on topic, one of my colleagues has gotten this call not too long ago: "Though the minimums are legal, they are below my personal minimums so I don't feel comfortable operating this flight." My jaw dropped on that one. Let me say that guy got a pretty funny nickname that stuck around for a while.
My personal favorite, and I don't rag on the crews too hard for this as its 100x more common for us to be familiar with t/o alternates than for flight crews. When amending on a takeoff alternate, they ask "how much fuel does that add?" I guess hypothetically if you have a 45 minute flight, and the t/o alternate is 60 minutes away, you hypothetically could require more fuel haha!