Chamber pressure is not a good indicator of recoil impulse. It is the weight of the projectile combined with the velocity imparted to it. The 22-250 has some serious chamber pressure but the recoil from launching the 55 gr slug is pretty minimal even at maximum velocity. It compares very poorly to to the recoil of a 45-70 using black powder and a 325 gr lead slug.
but you are comparing a 55g bullet and a 300g bullet.
I'm comparing a 400g slug (or shot load) with a 400g bullet.
now shot shells are cylindrical as are 4570 444 or even 600 nitros, not so with a 22 250, which is I believe
a 3006 cartridge necked down to 22. so of course in the 22 250 you would have hi chamber pressures because
of so much gas exiting out the .22 size hole.
not so with my example.
the shot load, say for sporting clays, was not designed to reach more than 100m, so its powder charge reflects that.
the 45 70 on the other hand was designed as a mil cartridge and is supposed to get out to ~1000m. therefore the
powder charge of the 45 70 must be able to send that 400g slug that far and so therefore is much greater than that
of the shotgun and recoil would be greater.
but everything is power to weight, the heavier the gun the less 'felt' recoil.