You expectations of forging dimensional tolerance misses the mark significantly. Here is a graph showing how much a die changes at multiple different points as it’s used.
It’s from one white papers, there is a lot more out there on the subject.
Then you have employees grinding on belt sanders controlled by hand and then tub polishing. 10 thousands is an insane tolerance to expect for that kind of process done significantly by hand??? Even the box end angle is crude. It shows it all in snap ons video linked below.
Nearly all wrenches on the market are forged and not machined all over. Usually the only actual machining is the broach for the open and clearance hole milled and then broached box end.
The only wrenches that I know that are CNC cut and machines are the tekton hydraulic line wrenches.