This is just a variant of the “I don’t see race” argument.
I don’t agree. Acknowledging the very real status of race science being a totally debunked pseudoscience, is not the same as saying, “I don’t see any outward, physical differences between people.” I recognize that some people have, for instance, darker skin than others. I don’t expect that the full rejection of the pseudoscientific concept of “race” will or should result in people becoming “color blind,” so to speak. However, I do think as we move from race classifications to ethnic classifications, skin color (or any other arbitrary outward physical characteristics) will become less important and other ethnic signifiers (like language or dialect, culture, art and clothing styles, nationality, religion, etc) will become more important.