Most VCs I've met do have some kind of value system other than making money that permeates their investment decisions, it's just usually one that is easier to align or at least doesn't run contrary to their business interests, like making large systems more efficient or spreading access to goods and services traditionally restricted to the rich by driving down costs.

Socioeconomic mobility is really much easier to pull on with policy and the education system.

Some people do work on trying to democratize entrepreneurship though, like YC with startup school, or Stripe with Atlas.

They do it by spreading information and reducing barriers, not by giving money to higher risk people though, since that's easier to align with their place in the system.