The watch I have is rated to +-2 seconds a day. It'd take 15 months of not adjusting my watch to be 15min late.
That's pretty amazing to me that basically a spring and some gears can be that good at keeping time.
Yeah, I don't deny there is a certain natural fascination to them.
In this modern age, you'll often come across synchronized digital clocks. Whether on your computer, phone, workplace, bank, etc. For me, it has become second nature to adjust my watch's time once every few days. I end up comparing my watch vs a clock a couple of times per day, and deciding the difference is great enough to fix, once a week or so (on a cheap, inaccurate Seiko 5, I would expect less frequency with a better timepiece)
I suppose it depends what you want out of your watch, but to me having a time I can't trust is frustrating. Even the best automatic watch is less accurate than quartz (which itself can eventually drift too...).