This reminds me of a Slate Star Codex post, Epistemic Learned Helplessness: https://slatestarcodex.com/2019/06/03/repost-epistemic-learn...
Essentially, this essay argues that sometimes it is rational to ignore attempts at persuasion altogether – there is always someone more adept than you at arguing their point, and since they are so convincing you are incapable of distinguishing the truth, so you fall back on your Bayesian prior.