Recoil has not effected the mechanical ebaushe used in any of my Zodiacs. I own a Marine Life and a Super Sea Wolf, both early 1990s vintage. It is a standard Swiss made automatic movement used in many watches from Europe.
I also have a Zodiac Sea Wolf with a quartz movement, that I have used for most of 20 years, that would have given up long ago if it was sensitive to shotgun recoil.
From about 1977 until 1990, I used a Japanese self winder, that was simply indestructable, that saw plenty of shotgun recoil. It still runs today.
I haven't seen a good watch quit from being used.

Best,
Ted