Sales negotiation
A recognised expert admits in a meeting: "Honestly, on this particular point, our solution is a notch below the competitor's." Far from working against him, this admission strengthens his overall credibility and the client's trust in everything else he says.
Concede a small, genuine weak point once your competence is established; the measured admission lends credibility to your entire argument by contrast.
Builds trust and disarms suspicion in the face of a pitch that is too polished.
Counterproductive if competence is not yet established, or if the admitted flaw is a deal-breaker.