SR=StopRing in my vernacular.
I have 3 or 4 Euro-schuetzens on "martini" actions. Breech-seating bullets is possible, but getting a workable mechanical breech-seater can be difficult. I have only run into 1 good design and it is a fabrication nightmare. One could drill holes and add pins to hook a breech seater device to the action but I could not do that to one of these fine antique works of the guncrafter's art
A push-seater with a dog-leg bend works but it can be a pain in the hand if not in the extreme lower back----then there is the issue of working around a scope.
The technique used in Europe, as I understand it, was to carry a rifle, and a shooting case containing empty primed cartridge cases, a quantity of premeasured packets of powder, and a quantity of purchased pre-lubed bullets to the range--often on the town trolly or bicycle. At the range the powder was dumped into the case, and the bullet was carefully inserted into the case mouth with finger pressure, the cartridge inserted, and when your number came up, step to the shooting point and make your shot.
I doubt that their shooting style involved many 100 shot matches, spending a whole day or weekend shooting off one's "personal" bench etc. My guess it was more a matter of: step up to one of a limited number of firing stands, making your shot, and then stepping back. Then waiting for others to shoot before you took your next turn to shoot. Of course most if not all was offhand, and I think most of the shooting done with these originals was with iron sights.
Our style of shooting them is significantly different now.
I have seen a few old German bullet catalogue pages that listed hundred of different designs and sizes of bullets----most with SR--stop rings.

They are a lot like our old Lyman mold catalogues---but you were usually ordering the bullets, not normally the mold to cast your own. Seeing them like that was a real "AH-HA" moment for me.
Just the availability of almost identical bullets with the only variance being the size of the stop-ring band itself seems to evidence that that little band was much more than just to keep the bullet from going too deep in the case.
I shoot them to enjoy the experience of using them the way they were intended. I know I am self-imposing limits by using them in the original way but that is the choice I make.
This is all based on my own interpretation of the catalogues and design/function/and shooting customs.