There is a direct relationship with torque applied, lubricant type and thread stretch, which is the sole reason for torquing a thread in the first place. 2-3 torquing levels are used on engine head bolts, this is to ensure that as the bolt/nut torquing sequence is done stretches the threads equally on ALL bolts/nuts.
This type of torque is not necessary on a barrel, there is no force trying to pull the 2 pieces apart, however there is minor twisting forces and all that is required is to have enough torque so the barrel can't unscrew…even though I often shoot with a hand tightened barrel with no ill effects.
Cheers.