So this guy is against using the axiom of choice because a countably infinite number of prisoners in a row who have agreed on an infinite set of equivalence cla

So this guy is against using the axiom of choice because a countably infinite number of prisoners in a row who have agreed on an infinite set of equivalence classes just between breakfast and hat game time and remember them and each of them can recognize infinitely many hat colors in finite time (takes deep breath) suddenly becomes unintuitive using the axiom of choice? I can't help him there.