Maybe that's the charm of mechanical watches? Precise metal parts moving in harmony. You can entertain yourself with analyzing its workings by simply watching it (no pun intended).

Precise, but featureless digital clocks lack "soul" which you can actually see.

For sure. And early specimens are worth a close look if you ever get an opportunity!

Humans can do amazing things! One of those things happens to be really precise, tiny parts literally willed into existing.