wtf?????? No disrespect... But what kind of question is "big mass vs big quads"???? Not only that, but what does that have to do with squatting PowerLifting style or ass-to-grass???
If anything the OP's question "mass vs strength" is a relevant question.
-Being bigger does not mean being stronger.
-Being strong is more than having big muscles. It includes having the CNS activating more fast twitch muscle fibers. Plus having the bone density and joint strength to support that strong & fast contraction + the heavy weight.
If you ever go to a Powerlifting, Strongman, or Olympic Weightlifting competition you will see some "normal" or "small" guys moving more weight than a lot of the bigger guys.