Just talked to my Volkl/BB source, he told me that BB Pulse is the same as Volkl PowerfiberII. It is a crisp multi, as all of BB/Volkl/Klip multis are. They don't produce a soft/gummy Tecnifibre multi, unfortunately. Strung properly, it will not go soft/loose. If you hit flat, it can go a little dead before it breaks.
Bomber is the same as V-Pro, which is a smooth Cyclone. Bomber NYC is just black Bomber. I have not used either, but generally, the black dye makes the string play stiffer.
Volkl V1 Pro