The slashing/stabbing power, balance and strength of these ti blades are considered foremost. Yes, the novelty is a bonus, as is the mesmerizing gleam of the alloy. A rapier or foil, wushu sabre or jian, dirk or other thin thrusting weapon will be fantastic when forged in this ti under the mad science S.A.M.hammer and properly quenched. Any day now an unmarked van full of Germans are going to pull up, put a bag over my head and shove me in. I'll wake up in an undisclosed location shackled to an anvil, next to a pile of ti, getting yelled at: "VORK! You are to be making rapiers now ja! VORK dumpkoff!"
I would say that the Japanese katana is the most refined and subtly specialized fighting sword around, and so it could be the most difficult to to try duplicate in performance if a maker uses abnormal materials, and its weight is not to be trifled with. However, it's beauty and shape is so iconic and useful even for "general sword use," that it remains extremely popular and desirable in all its forms, including as mountains of wallhangers produced, ironically, in China.
The Japanese sword-making arts are sort of locked in time due to the laws there. If i'm not mistaken, is illegal in Japan to own or make a sword in any way that is not certified, bonafide, and traditional. Swords in Japan are registered like guns. If that wasn't the case, then perhaps there would be smiths there impressing their genius upon other materials.
As for fullering, it's high on my list of future advancements; the way it girds the structure of a sword is top-notch, weight considerations aside. Even without a fuller, the ti alloy I'm using is quite stiff, even if it's ground very thin.