Even cheap quartz movements tend to drift by ±10 seconds per year, so you'd only really set it at dst. Maybe you're thinking about automatic watches which can drift by several seconds per day, and stop if you don't use it for 24/48/X amount hours. I have to set my automatic quite frequently
+/- 10 seconds a year for a quartz watch isn’t cheap. A Grand Seiko or Citizen high-accuracy quartz watch costs around $3,000 for the most basic models. A cheap quartz watch is an order of magnitude less accurate, which is still more accurate than a Rolex .
±10 seconds per year would be quite an expensive quartz movement. To be that reliable anywhere it should be thermocompensated, too. This is the range of Grand Seiko 9F, Citizen Chronomaster, or Bulova Precisionist.
