There are only a couple of options in your list that's synced to a reasonable timekeeping source - keeping accurate time is something we only solved "recently"*
*Although, in the US, wasn't there a timekeeping radio broadcast?
I remember having a cheap Timex in the mid 2000s that synced off this. I found it a great improvement to the watch experience; my synchronization source of choice before that was a wall clock also powered off that same signal. I also have vague memories of a phone number you could call to get the accurate time.
*Although, in the US, wasn't there a timekeeping radio broadcast?