The calculation for bolt thrust is for bolt thrust only and unrelated to recoil.
The calculation for recoil is based on bullet weight, rifle weight, charge weight & impulse, and muzzle velocity. You can find many recoil calculators on line. They do not use chamber pressure unlike the calculation we used here for relative bolt thrust.
If you accidently lodged a bullet in your barrel and fired another round in the chamber and neither one exited the barrel, chamber pressure and bolt thrust would be sky high.
Ironically, if the gun failed to blow up there would be no recoil either.