You may want to have a closer look at that catalog, and see if you can find the word "successeurs" on it anywhere. During the 1930s, a company called Etienne Jallas & Cie was running the show. Several different companies took turns at ownership after eldest son died in 1917. My research in St. Etienne suggested the party was over, circa 1955.
I've had a few guns through here that were marked with different Cie (company) ownership markings, but, most all were also marked with the obligitory "Médaille dór, LYON 1914 (the company won a gold medal at exposition in 1914, for you non French speaking guys) on the barrel flats.
The same sliding breech 1922 models are listed in the 1930s vintage Jallas & Cie catalog, by the way. Also included were four grades of Anson & Deeley boxlocks and two grades of sidelock, one clearly labed a Holland style gun-I'm guessing the towel was getting heavy enough to think about throwing it in by the space taken up by conventional guns in the catalog. By 1947, the sliding breech guns are completely restyled, renamed, and ownership has been transfered yet again. Someone named Jacob Holzer is supplying barrels for the higher grade guns by 1947.
I have seen one of the R action "improved" F. Darne guns that had a rectangle that projected out of the flats, which met a matching rectangle on the guns watertable. This gun, a 12 that had met with a reblue, was distinctly lower quality, not grade, but quality, than a "Classique" model I had at the same time.
If the rectangle improved anything, it wasn't by much.
Best,
Ted