Earlier quoted context omitted.
Imagine that you're a highly intellectual, highly technical, and highly responsible person in control of large sums of governmental or corporate money. You don't want to waste the money, you want stellar results (in spacecraft industry, maybe literally so). Would you assign a large sum of money to a group that cannot present their design clearly, neatly, and concisely? If they are struggling even with that, would you…
I think that Feynman was talking about preparing a freshman-level lecture for Caltech-standard freshmen, but maybe you have somebody else in mind.
The average person can understand anything ... at some level. Being able to match that level is positive evidence (but not proof) of competence.
Duality: Being unable to match that level is positive evidence (but not proof) of incompetence.