For what you want to hunt any one of the four chamberings you mentioned will do just fine.
So really you don't "need" two rifles but two is more fun than one.
Do you find recoil as a negatively effect of you shooting ability?
Consider that when choosing the gun.
Myself I hunt deer to moose with a 338 win mag in a T3 lite.
I find the recoil manageable but some would consider it extreme.
It's sure nice to carry when you're going up hill.
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