I hope that you didn't get rid of that brass yet.
I have an Austrian cape gun that I could not get to shoot for some time- until I miked the bore.
Turns out that although it was marked and chambered for a 9.2x72r, the bore measurements were very similar to yours. Apparently those 9.3 stop ring bullets tend to have much smaller diameters on either end. ( I am starting to believe that some makers produced smaller bores to take this into account.)
I worked up a load with a cast gas check 200gr slug. With the correct load of 4198 or 3031 it shoots to the sights. That is something that it never did with the Seller and Belot factory ammo.
When I bought my dies from CH4D they came with a .361 expander and the set I had wouldn't even fit a .364 bullet for seating. At first I thought that it was a mistake but I am pretty glad that I kept them as they work perfectly with the smaller slug.
You have a great hunting rifle there. Although the condition is what it is, there are no concerns hunting with it. And there are far more .358 bullets available for hunting than proper (200gr)9.3mms which when you do find them, are substantially more expensive.
Good luck with it.
Tom