Just fucking admit when you’re wrong, all you’re teaching us with your fancy degrees is that you’re a prick and to resent authority figures.

This is correct; there is a section in the Aviation Instructor's Handbook about this. It is important for a teacher to establish themselves as a subject matter expert, you absolutely should appear knowledgeable and competent. There are ways to do this wrong. For instance, if you don't know something, just make shit up. If a student asked a question I didn't know the answer to, I had a go-to technique for handling it: I would turn it into a lesson on aviation reference materials. "What book would you look for that in? Let's see if we can go find it." Another way to undermine your own credibility is to insist you're right no matter what. Your students WILL see through that and it WILL undermine your credibility.

And it's one thing to pull that shit when you're a high school English teacher and you're not responsible for anyone else's safety. A flight instructor is not only a teacher, but also sometimes the only qualified airman on the plane. "I don't want to fly with you anymore, you scare me. A real expert pilot doesn't have to pretend to know what he's talking about."

Your students are smart, capable scholars and they should be respected as such. It's remarkable how many people are in education professions that don't get this.