Ah, I seem to have found the answer to my poorly worded question.
Most of the quarks in the universe are already in their least massive generation, and these are the ones that occur most often in nature.
So I suppose the answer to my question is yes, all of the quarks are in their smallest form, and that's the way they remain, save some rare high energy collisions creating more massive quarks, which decay quickly back into a lower massed particle.