Earlier quoted context omitted.
I disagree, if a person has to make a decision under uncertainty, and a priori favors neither group A or B, then they might as well use any visitor information available to them to guide their choice. They just shouldn't be too confident they've made the correct choice.
You are just using noise then. It's not a matter of opinion, it's statistics.
You will just be acting under reduced certainty, but if you have to act, any information is better than no information.
(I'd be very interested to hear your statistical explanation).