I am agnostic about the Quadrant numbers, blah, blah, blah, but since some posters have written about how the S3 was scoring lower than HTC One and that was the deal breaker....I took a gander @ seeing what my scores would be. Sure enough, I had an almost higher # than yours (I got 5132) showing ranked number one over the HTC One by a good bunch and with tne Galaxy Samsung Galaxy Nexus way below (ranked 6th).
What does it all mean? Eh. Not much for me. Real life usage is more important...but it was fun playing.
It has the same chipset as the Evo/One X, so it should perform very similar. Overall, quadrant is pretty meaningless, and useful only for comparing roms on the same devices.