That's incredibly honorable of you guys, and thank you! But the explanation I don't buy. If you dislike a group, and choose not to fund them, their idea still might be pretty good. (IIRC, one or some of your essays mention that the greatness of ideas and the groups behind them are somewhat independent of each other).
In this case, what incentive do you have to keep the idea to yourself, and not tell/hint at it to a funded startup?