I would like to see the comparred pressure curves, to get an idea whether the Ruger has a "sharper" rise time, thereby giving a perception of "worse kick during recoil.
Obviously both curves must be for the same bullet weight and very similar velocities.

each powder will have a different curve.
regardless of case.

they are 2500PSI difference, max pressure

I understand that there will be pressure differences.
What I am looking for is a chance to see whether the Ruger pressure rises much faster than the H&H.
If the pressure curves follow approximately the same curve (Delta P over Delta t), then the perceived recoil will be very close to the same, if both rifles have a similar weight.
If the curve of one rises at a much faster rate, the shock factor or "felt kick" will be greater due to sharpness.
I have never had a problem with recoil from my 375 H&H. It always felt like a 30-06 with a duration that seemed a bit longer.
I have seen the "felt kick" of 7MM Magnum and the folks that were firing the rifle said they would prefer to shoot a 375 H&H. Tha fast rise time of that 7MM is what "hurts".
So, now that I have tried to make my thought process more clear, I hope someone can assist.

Do not hold your breath about getting those graphs from Ruger, or any ammunition manufacturer.

You can do it yourself, however. Find someone who has an Oehler 43 personal ballistics lab, load up equal velocity loads, glue strain gauges over the middle of the chambers, and fire away. The system will record pressure tracings. You can then compare apples to apples. Very instructive.

The other system that works very well is made by Recreational Software, Incorporated (RSI). I had an earlier iteration of that system, and it worked well indeed (until a power surge fried the laptop and the software unit). That system is even more detailed than the Oehler model 43, and costs less, to boot. It does not have the down-range chronograph screens to shoot by mistake, so it is not as much fun.

Anyway, the principle is the same. You affix strain gauges to one rifle of each caliber, shoot a bunch of rounds out of each caliber rifle, and then compare the tracings. You can overlay one caliber's result over the result for the other caliber.

That will answer your question. It require work, and possibly expense on your part, but it will answer your question.

L/D