Inaccurate Clocks

The clock on my Windows Desktop updates the minute hand every minute. Which is fair enough. However, it does this at the end of each minute, which I think is wrong. It means that for the last thirty seconds of each minute the clock is more than 30 seconds wrong. I reckon that the minute hand should move to the nearest minute when it becomes the nearest one.

Or am I just being too pedantic, and should really turn the second hand on? (and then fret about the clock being more than half a second out…)