I'm going to go there and say that this isn't just an offensive abnegation of a Black person's humanity or lived reality, it's also a flat-out lie.
I have had the privilege of experiencing a little of the two-facedness involved in this assertion. Depending on how well people know me, they see me as the husband of a Black woman or as just another White guy they can speak freely with.
When these people who don't see color don't think they'll get caught, they're perfectly happy to talk color, sometimes in code (good schools versus bad schools) and sometimes not.
As Prof. Kendi says in "How to be an Anti-Racist", race is a mirage, biologically speaking, but it's a mirage with real and devastating effects. If all of the people who "don't see color" really didn't see color, then these effects would not exist. George Floyd would still be alive. Breonna Taylor would still be alive. Ahmaud Arbery would still be alive. Jacob Blake would not be looking at a lifetime in a wheelchair.