He's asking why there's a recession in the action.Hard to say. Lots of things circled in there. Could be a bolt release, could be an action. Who’s to say, really?
I have 19mm (for Lothar-Walther and Bartlein/WinTac barrels) and 22mm surgical wrenches (for current Accuracy International factory barrels) which are rubber coated I use specifically for barrel wrenches as barrels on my quick change AT308 have always gotten stuck when I go to pull them. The rubber coating helps prevent marring the Cerakote on the barrel.I think you're confusing two different AI barrel systems, maybe? You referenced a pic of an AXSR and asked about barrel flats and strap wrenches, etc. "Hand-tight" is what is SPECIFIED in the manual for the AXMC, AXSR, and other platforms that use the Quick-Loc barrel system. Hand-tight sets the headspace properly, and the lock mechanism, properly torqued to approx. 50 in.lbs provides the force to keep it locked firmly in place with no need for additional torque on the barrel. The flats are handy in case one ever got stuck and wouldn't come off by hand, but I have changed quite a few around and never run into that. It seems to me that torquing one of these barrels significantly more than hand-tight could potentially damage the receiver threads since the threads are split longitudinally (to make the clamp) and not designed to take that much torque with the clamp loosened for barrel changing. The i.d. of the receiver threads is relaxed (larger) with the clamp loosened, and the threads don't go 360 deg around the tenon of the barrel - there is a gap in the threads at the bottom.
You would be correct, however, on the earlier, non Quick-Loc designs, which definitely need substantially more torque than hand-tight because they don't have the clamping mechanism.
But digressing, this is the correct answer.