"Magnum" is a term more useful for marketing than for realistically describing a cartridge and its performance. Sometimes it applies to cartridges that are more powerful than previous ones. For instance, ...
* .22 Long Rifle was lengthened and thus became .22 Winchester Magnum Rimfire
* 38 S&W Special was lengthened and thus became the 357 S&W Magnum (.357"
is the actual caliber of the 38 Special),
* and the 44 S&W Special was lengthened and thus became the 44 Remington
Magnum, etc ...
If recoil is a concern, install an effective muzzle brake (some factory rifles comes with muzzle brake on them already). Muzzle brakes not only reduces recoil but also allows you to see your target impact and easier target re-acquisition. In the Big Sky Country, my preference is .300 Win Mag with .180gr and heavier. Both my .300 Win Mags have muzzle brakes and the felt recoil is similar to .243's.
In short, use the rifle/caliber, bullet and powder combination, etc ... that best serves your purpose. Good luck and happy safe hunting/shooting.