1 second/day is 10 PPM. Reaching that accuracy with only mechanical means in a device small and robust enough to be worn on the body is something to admire, not to fault for its limits.
Quartz watches go years on a small battery, and keep better time.
Sure, it's admirable engineering, it's just most obsolete. And that's ok!
The role of watches as jewellery has kept mechanicals going far more than practicality.
https://en.wikipedia.org/wiki/Quartz_clock
Lasting years on a battery is easy.
https://en.wikipedia.org/wiki/Spring_Drive
Advertised at +-15 seconds a month, but in reality it's much better than that.
I get your point, but I can easily get >2 weeks out of my Garmin Fenix or over a month if I put it in battery saving mode.
I use the Garmin to track my exercise - I don't care if the mechanical watch will last all my life if it doesn't do what I want it to do, and it's not even that great at the one thing that it does do.
There aren't a lot of normally-priced mechanical watches that get 1 second/day accuracy. That precision can be admired in mechanical watches, but as I said, it becomes a fun expensive hobby.