Does a .338 win mag offer a whole lot over a .300 magnum shooting 200-220 grain bullets for game elk size and up?
The answer depends on how you define "a whole lot".
I have and have used both for elk. Both have done the job. In the .300 I tend to shoot 180g Barnes MRX, TTSX and North Fork SS bullets and use 225g Nosler AB in the .338.
I see bigger holes with the .338.