If anything, they are paying lots of attention, and get special treatment, since they own so much of the company
Let's be clear about this: the fund managers own nothing. They are employed to manage the mutual funds that other people -- you and me and everybody else with a retirement account -- actually own. They disenfranchise us, the actual owners.
(Yes, technically, it's true that the individual company shares are owned by the corporate entity of the mutual fund itself, and that what the mom & pop investors technically own shares in that fund. But that does not make it fair to say that anybody but the mom & pop investors deserve to vote the individual company shares, because it's their money that's being used for the whole thing!)
And they are most definitely not bleeding-heart liberals. If they voted for this proposal it’s because they think it will lead to better outcomes for the company.
If keeping DEI is better, why didn't they demand it for all the other corporations whose boards didn't propose keeping it? The answer is, again, the fund managers almost always just rubber-stamp the board. To claim that fund managers are actually forming their own opinion on the efficacy of DEI and influencing corporate governance accordingly is simply not true.
In theory, mutual fund managers are acting on mutual fund share holders' behalf. In practice, "shareholders" of most large corporations are effectively asleep at the wheel -- the investment industry literally calls shares held in index funds "dumb money" -- and boards of directors can do pretty much whatever the fuck they want. In the era of huge mutual funds, especially index funds where the even the choice of which companies to own shares in is no longer a feedback mechanism, the check & balance of shareholder control is basically broken.
The fix is "pass-through voting," by the way:
https://corpgov.law.harvard.edu/2024/04/17/pass-through-voting-giving-individual-investors-a-voice-in-corporate-governance/
https://www.morningstar.com/funds/new-proxy-voting-options-ivv-other-index-funds-blackrock-state-street-vanguard