You don't see anything funny about a biometric identification system that is not allowed to consider factors that would be considered indicative of "race"?
Person A won't be identified because of being Chinese, he will be identified because of being a second generation immigrant that has a Chinese diet, interest in STEM and has a Chinese name.
The reason there are racial stereotypes is because there are trends among different races and skin color is a very evident trait for humans to identify. AI will draw the trends from everything else instead, which will draw the same picture, but skipping one specific parameter because it feels icky for humans.
Assume an increased chance of someone being interested into the arts and liberal because of dyed hair? Sure! Assume an increased chance of knowing Spanish because of being Hispanic? Ew no that's prejudiced.
It's so very stupid.
That is funny.
Your example? Not funny at all.