hour of God, or the actual hour?

so we switched to daylight savings time, in the past it had not been used at all. but it creates a lot of confusion, which surprised me. We'll get to a community and no one will show up until an hour later. they get there, and we're like, "how come you're late?", and they say, "we don't use the president's hour (since the government made the change), we're on the hour of God (or some variation of this, sometimes they say the old hour)". so it's pretty interesting. but i understand, they don't really need to keep track of the time so much, they work when the sun shines, sleep when it's night, and eat when they're hungry. but they do clearly use clocks, because they know they showed up late, or not necessarily late, just at a different time.