The 300 win mag is almost 55 years old; so I think this cartridge is a very traditional choice as well. The main difference between the 06 and 300 is the 06 is owned by folks who hunt large game sporadically. The 300 is owned by folks who hunt large game regularly.
I agree throughout the first decade of the 21st century the trend was towards high velocity and high energy. While the 300wsm really took off, the 300 win mag was certainly lumped in that category too. I must confess that's why I own a 7mm rem mag (and still am a fan of overkilling game).
For a number of years now the trend has done a complete flip away from even the standard 3006 to minimal recoil like the 243 and 7mm-08 (perhaps the pussification of America or new bullets, probably both...)
7mm-08 is the modern incarnation of the 7x57 Mauser (they are almost ballistically identical) . It's a long-for-caliber bullet (same as your 7mm Rem Mag) for less money, less recoil, shorter action, and longer barrel life.
Inside around 300 yards, there is little, if any advantage to the 7mm Rem Mag over the 7mm-08. The big advantage of small (.284, .308) and medium (.33) magnums is found at distances beyond 300 yards over their non-magnum cousins that use the same bullets.
With a 200 yd zero, a 7mm Rem Mag has about 2-3" holdover advantage compared to 7mm-08 when both are shooting the same 175 gr bullet. For a lot of people, that difference is so insignificant as to be outweighed by lower ammunition costs, reduced recoil, and a shorter action. And there's even less difference between 7mm Rem Mag and 280 Rem than 7mm Rem Mag and 7mm-08/7x57 Mauser.
In 300 WM, you get similar performance - the 210 gr bullets perform ballistically about the same in the 300 as 180-190 gr bullets fired from a 30-06.
Practically speaking, unless you live west of I-35, opportunities to take full advantage of the ballistics of magnums are the exception, not the rule. Even in large swathes of southern Africa, shots longer than 200 yards may be little available.
I grew up in south Louisiana and have lived in our near Houston since 1991. I've been deer and pig hunting now for 35 years. The longest shot I've ever taken on live game was about 180 yards.
To each his own, but there are sound reasons to not go with magnum cartridges that have nothing to do with people being recoil shy. And no, "recoil shy" doesn't describe me. Other than my AR-15, the lightest caliber I own is a 6.5x55 SE. The rest are all 30 cal or larger.