I own a a maple kit, a birch kit & a mahogany kit.
I prefer the birch, in particular for recording. Birch has a slightly more focused attack with more pronounced mids.
Certainly there can be a significant difference in tone between a quality maple or birch kit vs. a basswood kit. However when you try to compare a quality maple to a quality birch the difference is much more subtle.
So much of a drum sound (even low cost basswood) is determined by the right heads, proper tuning and knowing how to hit the drums in the best way to "pull the tones out".
Regarding maple/birch combination, I would speculate that inner plys of birch vs. outer plys of maple would be the preferred combination - in fact I think Mapex came out with a Gen X kit (maybe 3 years ago) that had that combination.