You might be disappointed. Titanium may be stiffer (and I say may because only some formulations are stiffer than brass) and has a high strength/weight ratio (which means nothing for a bridge), but it also is the rubber band of metals- it soaks up vibrations at various frequencies substantially more than brass.
I'm not convinced, and I've played an AJ with a titanium bridge in Japan. I think a lot of it is the appeal of the exotic.
It would be interesting to hear more about the theories behind why titanium would soak vibrations more than other metals, and why it would be called the rubber band of metals.
Having worked a lot with titanium in recent years, that is not my experience. The ductility of Titanium (unless using higher strength grades) is close to that of steel, so it is neither brittle nor rubbery.
As I understand it the sound properties are to a large extent affected by three main properties, the elastic modulus (Young's modulus, E, we can call this the "stiffness"), the Shear modulus (G), and the density. Although the strength can vary considerably between different alloys, these properties remain rather constant within each material class.
The speed of sound in a metal depends on E and G divided by the density (longitudinal and shear waves). The resonance frequency is also related to E and G.
I have made a simple comparison below between Steel, Brass and Titanium, just to higlight some differences between the classes of materials.
Looking at this data; besides the fact that a Titanium bridge of the same design weighs only half compared to a brass or steel bridge, the resonance frequencies are expected to be similar to that of brass, while the speed of sound is more like that of steel.
Of course, the reality is more complex than this (if starting to take into account the crystal structure, directional dependencies etc.), but the above could indicate that Titanium has some special sonic properties.