Well, yes & no. It doesn’t quite work nice & neat like that. Cartridge PSI is a factor, but not the only part. A more powerful cartridge is forcing the bolt back with more power. The recoil we feel is the same thing the bolt & lugs are taking the force of. If the three were the same, the recoil would be same between all three. And it certainly is not!

Edit: I understand there is all kinds of math & who’s it’s & what’s it involved…. But it remains a fact that a more powerful cartridge cause more stress on the firearm. Including the Lugs. The Pressure, weight of projectile & diameter of the case/bolt face are all intertwined in this. But I was just trying to keep it simple. Which it is.