The predictive value of the group membership traits in this case is derived from the agent's own irrational prejudice, not from accurate statistical inference.
Reply to objection: For informal interaction, the relevant criteria for selection may include brute attraction on any basis. For some forms of interaction, the only relevant criterion is brute attraction on any basis. For such basically merit-free interactions, universal formal equality of opportunity still plays a regulatory role. The role consists of ruling out as inappropriate brute attraction on discriminatory grounds. The way you wear your hat, the way you sing off-key, and virtually anythi