Vanguard and BlackRock are well publicized as having pushed leftist politics through many of their initiatives[0]. The quote, in the article, of
>We vote in accordance with these governance principles to represent the long-term interests of Vanguard fund investors.
would imply that they may vote in ways that forward these leftist initiatives. However, there is no evidence to show that their votes on boards have any agenda beyond profit-maximization.
[0]https://www.blackrock.com/corporate/about-us/diversity-equit...