Bottom line;
Chamber pressure and case body diameter determine bolt thrust. Bolt "thrust" is just an engineering term for the amount of force it experiences during the highest pressure instance of gas expansion during firing.
Muzzle energy is related to recoil.
Recoil is not dependant on bolt thrust and bolt thrust is not dependant on muzzle energy or recoil.
Comparing the two is apples & oranges.
The 223 Lapua w/55gr pictured above would have the same bolt thrust as a 338 Lapua w/300gr when both were run at the same pressure. But the 338 would also have far more recoil.
Bolt thrust will always be higher with the same pressure in larger diameter (piston) cases. These include the 338 Lapua, Norma and Bee along with a few others. Lug setback in Remington & Savage actions has been encountered because their original designs did not figure in these large diameter (piston) cartridges.
We don't all have to understand the engineering or mathematics determining this we just have to beware when assembling rifles.
Other ambiguities addressed;
Yes, greater volume is required in cases to drive heavier bullets at design pressures. Heavier bullets at pressure create more muzzle energy and thence recoil.
Bolt thrust however will be determined by the case diameter. Therefore longer cases with less diameter can have less bolt thrust while developing same pressures, muzzle energy & recoil.
That's it in a nutshell (my simplified version anyway...
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