No one has really answered the OPs question — how many watches are produced each year by Rolex and Omega?
The answer is no one knows but Rolex and Omega, because they don’t release the numbers. Rolex is privately held, and Omega is in the Swatch group, which doesn’t release numbers for specific brands. But that hasn’t stopped watch detectives from trying to come up with numbers. An example is this article from the NY Times from a couple of years ago.
https://www.nytimes.com/2017/11/15/fashion/watches-rolex-patek-philippe-omega.html
They used data from COSC certifications in 2015, which doesn’t give the whole story. Speedmaster Pro movements are not COSC certified, nor are the quartz movements. Also, COSC now doesn’t release numbers for specific brands anymore, and Omega now has their chronometers certified by METAS.
But in 2015, Rolex had 795,716 COSC certifications and Omega had 511,861. So, in all likelihood, Rolex produced more overall watches than Omega in 2015-2016.
They may be more comparable now, but my gut tells me Rolex still makes more, even though you can never find any steel sports models anywhere.
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