Ive shot alot Moose with a .243w, a couple with a 30-06 and for the last few years, a 7.62X54r
Most Locals ude .243, 22-250, .270, .308, 30-06, I dont know any that use a magnum and a few use ,223. Never a problem.
Then again, most all hunters here shoot them in the head like I do. It is very easy to get close to Mosse, they fear few things. A well placed shot is what it takes.
This last Fall, about a week apart, I helped a friend and then his wife who took both their Moose with a 30-30 they shared.They shot theirs in the Hearts and it was plenty good.
Shoot the gun you can place the shot with, what ever that may be.
Moose are not "Tougher" than whitetails , they are 4X's bigger.