Taking a quote from the maker:
This bullet has a ballistic coefficiency of .137 and is at itÂ’s best under 150 yards. Total expansion is achieved with as little as 50 grains of powder making it the ideal bullet for the entire family.
The KEITH NOSE .45 was designed to allow heavier bullets to be used in slower twist rifles. Many groups under 1 M.O.A. have been shot using 300 or 330 grain bullets and a 1-48" twist barrel. The 360 grain will shoot very well in a 1-38" or quicker twist.
Your results may vary, but it is unlikely that a .45 / 50 360 KN and a .40 / 50 Dead Center are going to group remotely the same in your rifles.
For whitetail, with a 90 - 100 gr. charge, it is really hard to think of a situation where a 220 grain Dead Center is insufficient. You'll have dramatically higher muzzle velocity, less recoil, shorter time of flight, and a flatter, more wind resistant trajectory with a Dead Center. As it happens, the .40 / 50 220 gr. Dead Center is also the most accurate bullet I've tried out of my Encore or Knight Elite-- it is hard for me personally to see the benefit of a slow, heavy, loopy, ballistically inefficient 360 gr. Keith Nose for deer in a 1:28 twist barrel.