Most visitors online was 1990 , on 7 Feb 2022
This is certainly not surprising. Many refer to a number of Swiss watch companies as being part of a cartel. There is an ongoing battle for independent watchmakers trying to get factory parts to fix watches. You are fortunate that you can likely find generic parts for what you need that will do the job nicely. Good luck.... I have been told that Omega is now owned by swatch and they shut down The Omega parts distribution.
Balance is fine I think it was overwound and has a broken $10 mainspring is all. I would expect a more ornate movement in a solid gold watch. The one in it is generic looking. I did already confirm that it is an AS 9.75 but it is rough cut generic version. Gallet does have a history of using Wadsworth 14k cases and not marking the dial or the case. The only place you would see a Gallet mark would be on the movement...I will not refine the case. I will keep it all intact. Pinning down exactly what it is historically 100% is probably impossible I think.My guess is that the movement is original to the case. Now if the case was marked "Gallet" I'd think differently. I think it's the AS 716 that roughbarked linked to that was used by Girard.
BTW, does the watch have a broken staff? I'm just wondering what it would take to fix it. I don't believe you have mentioned the issue with the movement. Just curious, as it would be a shame to melt such a nice case. Cheers.