Fasteners that size typically don't have 1/2" holes through the middle of them. That kind of torque would likely yield (permanently deform) the barrel tenon at the chicken groove or first thread.
IMO, the torque only has to prevent the shoulder junction (and recoil lug if used) from loosening under the forces of firing due to tenon stretch (in the chicken groove) as it elastically elongates. One can calculate the required torque to place that much clamping force on the joint, so that things don't move about and depend on the threads and shoulder for positional repeatability. In other words, it has to be tight enough to prevent the barrel from doing the funky chicken every time you fire.
I've calculated a required torque of 125 ft/lbs for my big cartridges (WSM) at max pressures. For little cartridges (smaller diameter, shorter length, or lower pressures), the required torque is less, a lot less. 223 Rem at 55Kpsi takes little more than 60 ft/lbs. These are lubricated joint numbers...
The easy solution for me is to torque them all to the same torque - enough for my biggest cartridges. When speaking to Ian Kelbly years ago, he told me they torque all barrels on steel actions to 150 ft/lbs, IIRC. That's where I got started looking into it.
And yes, I think it made a difference in my rifles going up from 80 to 125. It was a subtle effect. I don't know what going looser than 80 would look like. I've never done that.
As always, YMMV...