You don't ask HR to go out and push some value if you already have it. You only ask when you want to change or want to pretend to change.

That said, some management people say it's important for a large company to write down the values that they actually practice. I can see several reasons why it's good, but I haven't ever seen anybody go and do it, so IDK.

Lived values need to be discussed sometimes…

HR run programs are costly and applied to either mandated trainings or things the org has issues with.

DEI isn't mandatory, so an org heavily invested in DEI training probably had serious issues in the first place (whether they end up on the other side at the end of the trainings being another question)

That's different from putting it as a core value though. Most companies have some kind of "make more money with less resources" stated value, and I don't think we see it as an issue ?