And my German coworker says the same.
However, having travelled around the world and being Swiss, I more often saw associated, even if by mistake, the Cuckoo clock to Switzerland rather than Germany. Scores of shopkeepers in Helvetia make a living out of this misunderstanding.
Even Orson Welles did that in the 3rd man!
And by the statistics most of the people can easily answer the question anyhow!
Rolex watches are made by Rolex SA (who also make Tudor brand watches), and Omega watches are made by The Swatch Group Ltd (who also make Swatch, Tissot, Longines, Certina and many other brands of watches)