i currently own a birch and walnut hybrid shell drum ....
But a Birch Walnut hybrid, I'm not sure. If you're talking about the Tama Starclassic Birch/Walnut series, they sound fantastic at the lower to medium end.
+1. The other birch/walnut shell that comes to my mind, is the Mapex Armory.
So .... what you have going on, is ..... (from Modern Drummer)
Birch: Boosted high frequencies, slightly reduced midrange, good low-end punch. Loud and cutting.
Walnut: Equal amount of highs, mids, and lows. Big and warm.
So .... judging by that info. ...... these are probably not built "primarily" for the jazz/bop player in mind. It is, after all, up to the player to choose what, how, and where he deploys his drum set. Experiment with your tuning range. Some drums sound great at JAW (just above wrinkle), others, not so much. They need a little more tension on the head, before they start to sing. On the high end .... trying pitch a 12" drum into 10" territory ..... probably not a good idea. At best, the drum will start to choke. At worst, you'll start breaking stuff.
Now, I have had it demonstrated to me, why jazz drummers loved the 3 ply Gretsch shell over the 6 ply shell (shades of DW's John Good). But that requires that you have, on hand, two similar sized shells stripped of their hardware. And you "thunk" on both of them with your finger. The 3 ply shell has a higher fundamental than the 6 ply. So it takes to higher jazz/bop tuning better.
Tama is making 16x12 and 18x14 bass drums, so they do envision some sort of bop/drum'n'bass sort of action for these kits. And small kits are all the rage. But, they're using smaller sized drums to get to the higher tunings. Mapex, so far, no.