This just seems unlikely. The difference between 100 points at the top end of the scale is minute -- a few problems swing -- and the change in a 1570 to 1600 is quite literally an issue of missing just a couple problems in either section.
The SAT is a horribly noisy measure of excellent in either verbal skills or math, much less actual intelligence. I can tell you I managed to never peak over 700 on the math section only to get a perfect score on both the Math IIC and GRE Math sections (much harder tasks).
The Math IIC is easier than than the SAT-I-M, but requires more subject knowledge. They test different things: the SAT-I is primarily a speed test, measuring how quickly you can reason under pressure, while the SAT-II is primarily a content test, measuring how much you've managed to cram into your brain before taking it.
The SAT is a horribly noisy measure of excellent in either verbal skills or math, much less actual intelligence. I can tell you I managed to never peak over 700 on the math section only to get a perfect score on both the Math IIC and GRE Math sections (much harder tasks).