If you cause a car wreck, you failed at driving. It doesn't
necessarily make you a bad driver in and of itself - everybody makes mistakes - but if you also refuse to acknowledge and own your error then that certainly suggests a lack of competence.
If you ship code that blows up in production, you failed at programming. It doesn't necessarily make you a bad programmer in and of itself - everybody makes mistakes - but if you also refuse to acknowledge and own your error then that certainly suggests a lack of competence.
If you tell a joke that lands disastrously, you failed at comedy. It doesn't necessarily make you a bad comedian in and of itself - everybody makes mistakes - but if you also refuse to acknowledge and own your error then that certainly suggests a lack of competence.
I still don't understand why, for many people, that last point is so much harder to understand than the first two.