Most people who just throw "Black Rock" into an argument have literally no idea what they're talking about.
BlackRock is an investment firm. BlackRock + Vanguard + State Street hold a huge chunk of all US retirement accounts, plus other investment vehicles that people use to reach to retirement faster. Because retirement-related accounts make up roughly 61% of all stock holdings, this means these 3 companies own most of the stock in most of the publicly owned companies on the US market and also other markets. This also means they get a lot of say in who sits on the boards of the companies' who's stocks they own.
Because they are mostly in retirement accounts, they have an obligation to make number go up and make it constantly go up for 30 years straight. Everything they do is in service of make number go up.
When they bought up a bunch of houses? That's because they knew stonks and commercial real estate were about to crater, so they had to go buy something they knew was going to go up. When they invest in large publicly held companies with more diverse boards, it's because they're expecting them to outperform over a 20-30 year horizon compared to others.
Trying to ascribe an ideology to money on the scales you're talking about is fundamentally absurd. Number must go up is all that matters.