It may have been a different case before Obama, but I do think people of colour are now very much part of the narrative of the white mainstream left in America. The narrative itself is the problem.
White liberals are firmly progressive on racial issues like affirmative action, diversity and immigration,
even to the point where they're more progressive than actual black and Latino people. Elizabeth Warren endorsed reparations and said all of the right intersectional buzzwords, then ended up with a voter base of almost exclusively highly-educated white people. The media is full of self-flagellating articles about whiteness.
The liberal narrative is the problem because it conveniently ignores more effective, class-based solutions, even though universal policies disproportionately help POC. When you separate something material like class from race, racism becomes this autonomous, innate force that can only be dealt with individually (
paraphrasing this Adolph Reed article). This reduces the potential for cross-racial, working-class solidarity (which we've seen in these riots) and prevents the structural racism maintained by capitalism from being seriously challenged. They're fighting the issue with their hands in their pockets.
This means there's a vested interest in Amazon tweeting about BLM, or Shell Oil sponsoring the 1619 Project (which has a long list of its own issues), or elite Democrats calling out protestors for white privilege. It pays just enough lip service to the existence of racism to satisfy the academics, leaders and professionals at the top, without really changing very much for poor people of colour.