the reason the answer was "kind of" was because the hayabusa and TL models are unique in diameter at the lower triple clamp (55mm). most GSXR are 54mm lower. all top diameters are 50mm but TL and 'busa forks stock are 214mm apart while GSXR are 207mm apart. I am not positive off-hand but axles may also be different in length but diameter might be the same.
The closest Cognito setup to working with the 'busa parts would be a cognito hub to lace up a stock 19" rim, using the axle and lower tree from a GSXR1000-K1 or K2, or GSXR750-K0 or K3 since those are the only other forks that use the 320mm rotor diameter. this would allow you to use the cognito top triple tree and stem swap. you would have to machine the GSXR1000/750 lower triple fork clamps from 54mm to 55mm to accept the 'busa forks.
Other option is to get the cognito hub, and get conversion bearings from allballsracing to just bolt on the 'busa forks/triples.....use the 'busa axle and have custom spacers made to center the cognito hub. lace to your stock rim and then you should be set.
this chart is very helpful