I dont have a recoil calc and accept your explanation. But it just seems odd, to me at least, given the same app velocity that the recoil difference would be so different just based on the use of a third more powder charge.
I would expect some since the charge is part of the ejecta and part of the recoil, but a third more seems high to me.
Indeed. There's the truth as far as a mathematical model is concerned, and then there is the perceived recoil as well.
I had a friendly argument trying to understand this concept with a world expert on double rifle regulation. I had assumed a really slow burning powder would be wonderful because I always thought "Better to have a push than a brisk shove". This was based on shooting weatherby cartridges a few times where the recoil was quite sharp, regardless of how big a cartridge it was whether 257 or 460.
The expert convinced me my thinking was very wrong. A fast burning powder in a double rifle gets the recoil event over with before the gun really starts coming towards your shoulder, whereas a slow powder just keeps pushing and pushing.
Real world, I tried this in my 470NE. I bought some of the Norma loaded Nosler solids and I could not figure out why it hurt so bad. Super painful. A PH in Africa remarked he never saw anything like my recoil response where the muzzles didn't rise at all, I just took all this horrific recoil to my shoulder. 4-5 rounds and I was flinching and my shoulder was badly bruised. I'm not a little man, I'm a gigantic human, and I was afraid of my 470NE.
So I sent it to Ken Owen and he did an autopsy on the factory ammo. He thought he recognized the powder as a Reloader or Vihta Vuori type and he did the math on that load with the solids. He figures I was shooting 95+ pounds of felt recoil with that factory load. He thought it was insane judgment by the factory and of course the loads wouldn't hit the broadside of the barn because they were going about 200fps faster than they ought to as well.
So I then tried Ken's advice of 3031 and the regulation was very good and the recoil was completely subdued. RL15 would be a bit more recoil but it didn't regulate. 4350 would be yet more recoil but it didn't regulate. 4831 did regulate very well also, but the recoil was much more.
You can google "felt recoil calculator" and plug in the details to see the math, but it won't show you the "feeling" that even further accentuates recoil that I'm referring to with the faster powders.