If you’re seriously claiming that people of color aren’t treated differently, look at the implicit bias test: https://implicit.harvard.edu/implicit/
It’s a very easily reproducible experiment (you can conduct it on yourself by following the link) that shows that most people respond differently to disadvantaged groups, even if those people are not consciously aware of having bigoted attitudes.
I think that if somebody is telling you they’ve faced discrimination, it shows respect to at least acknowledge the possibility that they are telling the truth and not hallucinating it.
https://qz.com/1144504/the-world-is-relying-on-a-flawed-psyc...
https://www.thecut.com/2017/01/psychologys-racism-measuring-...
From that last link: "Both critics and proponents of the IAT now agree that the statistical evidence is simply too lacking for the test to be used to predict individual behavior."
I would argue it is comparable to (an outward-oriented version of) body dysmorphic disorder: instead of social anxiety due to the perception that people are disgusted by your appearance, you get social anxiety due to the perception that people hold a negative view of your ethnicity.