I have pronouns in my email sig, and I now have no problem with it at all.
Initially I had my reservations, but thanks to a very active work forum on the intranet, I am beginning to understand some of the issues that some collectively term as "woke". The first thing I learned was to shut up, suspend scepticism and listen. I then began to appreciate that I, as a middle-aged white guy, don't exist in the same world as some of these groups. Their life experiences are totally different from mine. Consequently, when issues are brought up that I would before pass off as nonsense are just that because I have no experience of such things, this is why we have to listen.
There was one person in particular who was quite provocative in their intranet forum posts about gender who I have learned a lot from. They are spectacularly talented in their field and they also put a lot of work into gender equality. They published a blog post on one of the popular internet military blogs and was cruelly abused on their opinions with serious gender and sexuality abuse. Much of it was moderated out but they took it very badly. Now, you could simply say they only said "insert abuse or micro-aggression here"...but add that to their life experience and it isn't so insignificant, especially as some of the abuse potentially came within their professional-orbit. We all have our limits and that experience hurt them deeply. Why is that ok?
Seemingly small changes can have a huge impact. My email sig is a very small outward manifestation of respect and support of folks across the gender spectrum...that may make someone feel seen. Why wouldn't I? It doesn't impact me, it doesn't make me less of a person but may make the recipient more comfortable in my presence, in a position of leadership this is important. Inclusive language, again, if it makes those around you more comfortable, why not?
When I interviewed to join the RAF, like many on this forum, I was asked what I thought about homosexuality etc. and what would I do if I became aware of a homosexual in the RAF....then, the rules changed and the organisation accepted homosexuals, much to its betterment. The organisation changed to better reflect the nation it serves. The world is constantly evolving and the military should keep up, as should all organisations. If you look at the modern military and compare and contrast to the past, it seems so alien that sort of behaviour was baked into the organisation. We're far more open about mental health issues, we are better at neuro-diversity. When I was a young-un it was weirdo's and misfits on the squadron rather than acceptance and understanding of neuro diversity.
When I read about some topics, it can make me feel uncomfortable and dismissive. On reflection, I think we all do that when our world-view is challenged. I have just learned to try and keep an open mind.
I don't always get it right, I am still learning My particular challenge is in situations of conflict and how to resolve situations where D&I has been weaponised, or, where groups clash...that's an ongoing challenge.