Sonically, I don't think either one could be considered superior. I do know something about the characteristics of both. One could use these both to advantage.
As far as density and weight for a given thickness, MDF is king. The way I understand it, density has a direct affect on resonance. I don't know if this is universally true with materials other than those you mention.
On the other hand, Baltic Birch has an advantage when it comes to rigidity and stength, so it would be considered the stronger of the two, but lacking the sheer density of MDF.
One thing that's not considered in the above descriptions, but affects cabinet resonance, is bracing. A poorly braced cabinet built from the most dense material, will exhibit more resonance than a well braced cabinet built with something less dense.
To me, it seems like a design issue as much as material choice one.
One speaker I built was the Northcreek Rhythms, which used MDF for the exterior shell, with B Birch for internal bracing. Seems like that marries the best qualities of both.
