Nietzsche surmised in his opus Beyond Good and Evil that the capacity for genius was perhaps not so much rare as hard to come by, requiring a great mastery over καιρός, the right moment, as well as life circumstance.
"Genius is perhaps not really so rare [as] the five hundred hands needed to tyrannise the καιρός, 'the right time', to seize chance by the forelock."
Furthermore, in the earlier work named Human all too Human, he argued, the minds of great thinkers or artists are continuously productive of good, average and bad ideas and it is the critical faculty, developed to a fine art, that enables the manifestation of quality in the deed and the work.
"In reality, the imagination of a good artist or thinker is productive continually, of good, mediocre and bad things, but his power of judgement, sharpened and practised to the highest degree, rejects, selects, knots together; as we can now see from Beethoven's notebooks how the most glorious melodies were put together gradually and as it were culled out of many beginnings."
The word critical comes from the Greek κρίνειν, to differentiate and distinguish, including between what is higher and what is lower in quality.
The critical faculty – as I have suggested in previous posts (Knowledge and Sensibility and Interpreting Information) – tends to be governed most by one's personal sensibility, which includes taste.
A link could therefore be made between quality and good judgement, since critical faculty and judgement are the same thing.