Ive shot probably 100 animals with a 257 weatherby and quite a bit with a 300 win mag. The .308 bullet blows the .257 bullet out of the water for terminal performance. Which further solidifies my statement.
There were a lot of years when dad and I hunted together, when he had a farm with a bunch of does, and we'd sometimes kill multiples at a time (2 or 3 was very common, I got pretty good at making doubles with a muzzleloader, and we got 4 between us once) and over the years we experimented with various calibers a good bit.
We have had days when we would end up with multiple deer laying in the yard after dark, and one was shot with a .300Wby and another was shot with 25-06 and another was shot with 30-06 or 7mmRM or 280ai and, from about 2006-2016 or so, a bunch of them were shot with my little 6.8spc.
The worst recovery I've ever saw started with dad's 300wby. But there weren't many of those. Most of the deer either died within 50 yards or dropped in their tracks. And of those, not once did I ever get to the point that I could correlate the animal's reaction to the shot, against what it was shot with. Well hit stuff simply died. Poorly hit stuff did not. We can talk about bloodtrails and terminal damage found after the fact, but at the end of the day, if I'd collected all the data from all of those years, and tried to create a regression equation from it, the single largest predictor of recovery distance would undoubtedly have been shot placement (shoulders and/or CNS versus heart or double lung versus liver or marginal lung, versus everything else) and maybe impact velocity (which, for calibers under .35, could be divided simply into two camps - one over 2000' and one under 2000') and we might have been able to separate out another group based on bullet construction (cup/core vs bonded vs mono). But that's it. For bullets between 6.8/85 and .30/180, at no point was there every any notable distinction based on caliber or weight. It didn't matter. I've sat there looking at two deer shot with 6.8spc and .300wby, or 25-06 and 280ai, and they looked the same, or, if there was any notable difference, it was explained almost wholly by impact velocity and sometimes by construction, not caliber or weight.
The single best bad hit with a short recovery, that I remember, was with my 6.8spc. My wife went hunting with me once, shot a buck, hit it a bit far back, and it ran perhaps 75 yards, out of our sight, and we listened and heard it fall, before I realized she'd hit it a bit back in the liver and very rear of one lung.
The single biggest surprise was a quartering-to high shoulder shot deer that I expected to drop, and it did not. That was with my 6.8spc at maybe 100-110 yards. It ran maybe 20 yards and fell dead.
The single 'worst' loss that I could maybe halfway - sort of - blame on bullet, was a steep quartering away shot, perhaps 150 yards, with a 30-06 and a Hornady 150sst. To this day I believe I hit the deer well, in the rear of the left ribs, angling towards the off shoulder. Couldn't find the deer. Fast forward two months and it's rabbit season and the nasty pine thicket undergrowth has died back a bit and we found his head, about 100 yards away, in a place that you couldn't have seen him unless you'd stepped on him. For that scenario - whitetails in nasty stuff where you can't see more than a few feet - I still like blood trails.
All of that to say, I've never seen where the .300Wby bullets blew anything else out of the water. We used 168NBTs, 180NABs, 185 Bergers, and 150 Hornady Interbonds. There might have been something else I'm forgetting, but that's a pretty good sample of the spectrum of what was available back then.
ETA: And I will also freely admit that along the way I *did* develop the opinion that those .300Wbys killed like lightning. Because they generally did. But guess what? I then developed the same opinion about dad's 25-06 and then my 6.8spc. Make of that what you will. But we no longer own the .300s (we had two) nor the 7mmRMs (had two IIRC) and I don't even shoot the .280ai at deer anymore. I still have the 6.8. and numerous 5.56s).