There have been mass-produced don't-need-setting clocks for just under a hundred years now, the first Jaeger-LeCoultre Atmos clock, https://atmos-atelier.de/en/atmos-uhr/, being produced in 1928. You don't wind them up, you move a lever across to unlock them and then they keep running by themselves. The du Millénaire model won't need resetting until 3000AD, although perhaps that range may be a tiny bit optimistic.
These aren't even self-setting, let alone self-adjusting. They are merely self-winding.
+/- 1 minute for month? holy smokes. does not qualify as self setting.
Hooking that up to NTP would be quite a project.
What are you talking about, those will drift out of accuracy in a month
"setting the clock" means adjusting time, not powering
How does it handle DST?