At least in two respects. One is that the classic British style of stocks, the kind you see (in general terms) on Ruger rifles and actual examples, the comb drops relative to the bore, as the comb flows to the butt of the rifle. This means that during recoil it will rise up and hit you. The Weatherby ( and any other high comb that rises as it goes to the rear rifle stock", will slip relatively more from you face during recoil. These effects are independent of the actual drop at the toe of the rifle. And a tradtional comb is of less concern when Iron sights or any similarly low sight radius sight is used.
The second advantage is that Weatherby stocks were correctly designed early on, to allow a cheek weld with an optic mounted on the rifle, even one that is on a high mount. So there is not a lot of free movement before you get hit, your face is precisely placed, and this reduces parallax, and your face rides the rifle stock during recoil. Though as mention the angle of impact of the comb to face allows you to slip a bit of the effect.
We know Weatherby got the design correct because while it has taken as much as 50 years to sink in, they are ubiquitous in any serious rifles for target shooting, and a lot of military uses. Normally today all the relevant surfaces are adjustable.
I am not a fan of the Weatherby rifle stock, it looked bourgeois to me, had tacky white line spacers, and a variety of other vulgar features, though some of that was probably baked into the times. His use of local and accent woods could be attractive. While the super gloss is not appealing, it may have helped with wood movement, if it was continuous. I suppose super gloss is less a problem on rifles designed to be used at extreme range. Light reflections are not always distressing to animals as they occur broadly in nature, but light movement can be.
I am not knowledgeable about who originally invented the features described in his stocks, I am not suggesting he was the originator.
I did just recently buy a Howa/Weatherby in 6.5x55. My first Weatherby, if one can call it that. It seems a sound design and has an M16 style extractor, which seems sufficient for a deer rifle. My other 6.5x55 is an M96. I generally prefer any hunting rifle to have a little bit of battle rifle in it's DNA.