This isn't even about having poor dexterity, it's about having poor sewing skills. I would guess that most people's fine motor skills are actually better now than in the "old" days just because of how much people type on phones and computers.
I would separately guess that "tactile feedback and response" is harder to find and more important for a surgeon than "fine motor control", though obviously they do need both.
Skills and neural pathways have training and use specificity. Even (or especially) slightly different practices can have surprisingly little transfer, or even interference.
Next time I am intoxicated, I should (unscientifically) test this by comparing the difficulty of threading a needle with that of sending an accurate and correct text message