?? with all due respect...
It is common for fingerboards to be quartered. Grain patterns are more pronounced. The varieties I stock (pau ferro, ebony, rosewood, santos, madagascar ebony, and palisander) are all quartered or pretty darn close to it.
As for stability, I have to interject. Good wood is stable, no matter where it was cut from the log. Quartered and flat sawn woods shrink differently, that's all. So for a fingerboard, a flat sawn one will shrink in thickness, where a quartered one will shrink in width.
-Doug