Very relevant picture. Im still staring at those hat bodies.Homburg style hats require a special flange that can vary in degree of curve. The edge curls can vary too (see the P. & C. Habig Wien I posted in this thread). Proper brim vs. crown stiffness is important. Also terms can be language and time specific.
If you expand (click on photo) the following photo you can see the man on the far right at the first table working on a Homburg style brim (not sure what they would have called it) on a special Flange (also various other stacked on the wall to the left). The lady at the far left is applying the brim binding. This was specialized work that had its on department / section. There wasn't any guessing going on.
Partial View of the Brim Curling and Binding Department, Mayser (1925)
Beautiful Mayser Hats. Thx for that photo essay Steve.There were hundreds of years of experience in that room. Some of them had worked at Mayser since their youth (over 50 years!). This was common in hat companies of the time period. You can see it here.
Mark DeCou Studio on Etsy makes all kinds of stuff (wood worker in a Classical Sense) , but here's the options that apply , but he makes Homburg type , also .