The problem with that is I found myself shooting pretty much free recoil and now my groups are opening up
Heavy rifles typically shoot best using the free recoil technique, but lighter rifles need to be held securely. The objective is consistency, and free recoiling a light rifle won't be consistent, particularly for the more powerful cartridges. Like you I enjoy shooting magnum cartridges such as .300 Win Mag, .338 Lapua Mag and .375 H&H Mag. I shot an 88 round F-Class match in Hawaii using a custom .300 Win Mag wearing a t-shirt and had no problem at all. The rifle, scope, magazine and bipod weighed a little under 18lb but I wouldn't want to do that with a lightweight hunting rifle. I can shoot 100+ rounds in a day from my AIs chambered in .300 Win Mag or .338 Lapua Mag but they're around 20 lb with scopes, suppressors and bipods and are comfortable to shoot. My 9lb .375 H&H (rifle, scope and sling) is more of a challenge but I shot 50 rounds in a day when doing the initial load development. I wore a sissy pad and shot prone and by the time I was done I felt like I'd just finished 80 mins of rugby, but it was fun.
Impact velocity is the key, not muzzle velocity. This is exactly why the military is looking at replacing 300 WM with 6.5 Creedmoor. At 700 or more yards the 6.5 hits with more energy and shoots flatter with about 35%-40% of the recoil.
Obviously the 6.5 Creedmoor has less recoil but I'm not sure where you're getting your data re velocity, energy and bullet drop. If you compare the heaviest 6.5 Creedmoor load i.e. the 143gr ELD-X to say the .300 Win Mag 200gr ELD-X load, both from Hornady, the .300 Win Mag load which is not the heaviest for caliber has more velocity and energy everywhere with 34" less drop at 1,000 yards. Hornady lists the MV as 2,700 fps for the 143gr load but that's from a 24" barrel. My AI with a 24" barrel spits out the 140gr ELD load at 2,700 fps so Hornady is very close on that. They list the .300 Win Mag MV as 2,860 fps also from a 24" barrel. Considering that most hunting rifles chambered in 6.5 CM have 22" barrels and that most hunting rifles chambered in .300 Win Mag have 26" barrels, the real-world velocity and energy numbers are likely to be even further apart. If you're talking handloads, I shoot a 140gr A-MAX or ELD at 2,850 fps (suppressed) and shoot 208gr and 250gr bullets from my .300 Win Mag and .338 Lapua Mag rifles with just about the same MV, so once again, the 6.5 CM even when pushed hard won't compete with the .300 Win Mag and certainly not with the .338 Lapua Mag.
600Y - (6.5 CM) 1906 fps/1153 ft-lb .... (.300 WM) 2004 fps/1783 ft-lb
700Y - (6.5 CM) 1789 fps/1016 ft-lb .... (.300 WM) 1878 fps/1567 ft-lb
800Y - (6.5 CM) 1677 fps/893 ft-lb .... (.300 WM) 1758 fps/1372 ft-lb
900Y - (6.5 CM) 1572 fps/784 ft-lb .... (.300 WM) 1643 fps/1198 ft-lb
1,000Y - (6.5 CM) 1473 fps/689 ft-lb .... (.300 WM) 1535 fps/1047 ft-lb
I don't care how tough anyone is or thinks they are, they shoot rifles with less recoil better.
I don't, and I don't think shooting magnums is about being tough or a hard case. I shoot everything about the same because I practice with whatever rifle I use for a given application. I've shot numerous sub 1/2 moa 5 to 8 shot groups at 400 yards with my AI AWM chambered in .338 Lapua Mag and have done the same with my AI AW chambered in .308 Win and 6.5 Creedmoor. I don't see any significant difference in group size among the three at 400 yards but if you want to talk about target reaction on impact ... the .338 Lapua Mag is a beast!!!
Once I worked up a load for my .375 H&H it's very consistent with 5-shot groups like the one shown below. I can't do any better with any other hunting rifle that I have in the 6-1/2lb to 9lb range regardless of what they're chambered in.