If you’ve never heard of it, imposter syndrome can be surmised as feeling inadequate despite being successful. To distill it further; being too hard on yourself.
While this is a real thing, you can be too hard on yourself, and it can affect how you do similar future tasks. Let's say, you make a mistake and you’re too hard on yourself. In a similar situation down the road, you’re more likely to make that mistake again.
However, saying “I was wrong,” or “I’m sorry” is not imposter syndrome—it’s admitting one’s faults, i.e. being a decent human. People sometimes confuse the two.
Business schools teach students to never to admit when you don’t know something. To dance around the subject instead. Successful people don’t admit when they’re wrong, that's often the case. But what happens when you double down, dig in your heels, and don’t admit you were wrong when you know you’re wrong? Nothing good, that's for sure.
Being too hard on yourself is not good, but saying “I’m sorry” just ensures you’re not being a jerk. Which one would you say was the "imposter?"
Wise people admit when they are wrong. People who are comfortable in their own skin have the courage to admit when they are wrong.
It’s far easier to continue down the track you were going. To move the goalposts and say "I wasn't wrong, I actually meant this..." But who said being noble would be easy?