Arguments often take two distinct forms: ones that have strong merits, reasoning and evidence, and others that are arguments for the sake of having an argument. Defending the former to the death typically works, but defending the latter to the death often digs a person into an even bigger hole.
Back in my debating days, I took on an Arab opponent in one round who would not back off his argument. He did so even as the flaws I pointed out would force him to advocate racial profiling while I, a white person, took a stand against discrimination. Needless to say, it was an easy call for any judge to make, much less the elderly black women that was judging the round.