I have a girlfriend who believes herself to be on the autism spectrum, and I cannot over years ever recall her admitting that she was wrong or apologizing at any time for anything. We do get along despite that, but I was kind of hoping for insight.
Sadly I don't have much to share in the way of insight.
Have you considered that being comfortable admitting fault is a skill which some people never learned while growing up, regardless of gender? And can you imagine a world where men do the same thing, but you don't gripe about it because you're not in a relationship with them?
And, tbf, "the wife is never wrong" encodes some wisdom, same as does the saying "Happy wife means happy life" or, from White Men Can't Jump, "Always listen to the woman".