My primary wall clock has a second hand and clearly defined minute tick marks, and syncs nightly to public timekeeping signals (the so-called “atomic” clock). This satisfies my precision needs.

If your watch doesn’t have a second hand you may want one that does. If you see the minute hand at 9:23 but the second hand it at 45 seconds, then you know it is 9:22:45. It does take an extra glance, but only when you need that exact time.

However, that also depends on being synced to “real” time for it to matter. Therefore most analog watches will always be a little off. Over time (no pun intended) you would learn what the “drift” of the watch is.

To ensure you are on time and you only had an analog watch, you would just be early to ensure you are not late.