In principle, I agree-- with the caveat that when signal-to-noise favors noise by a significant margin, you are better off focusing precious time on contributors who already have the necessary skills and/or the willingness to refine their approach. I'm betting you'll find that this is the rule in practice. I've never known anyone in a problem-solving position who could afford to process every single input-- especially the noisiest ones. As far as the "as many as possible" part goes, check into the philosophy of "firing your troublesome customers".
However.. if that person then hangs around that car.. and every person getting into the car they sit there going "This car sucks, you can't shift, the seat feels like ****, and the manufacturer eats babies"...