As common as it was
Yes, it probably came up more frequently in conversation when folks actually made the transition. I may be a bad example since I wasn't fond of wearing watches before phones were common-place. They were always getting in the way when fossicking around in engine bays, etc.
It may be a generational thing, but I expect that folks who don't embrace the phone shift will stick with the watches. They're probably not in the market for a smart watch, though. It may also be location dependent; I mostly see health monitors on folks around here, if they're wearing anything on their wrists.
I'm ignoring the stupid economic darwinism factor where folks pay thousands for effectively the same function because it's some famous brand name, as with luggage and attire.