I don’t think this precision is necessary. We have an analog clock in our living room, and I often quickly glance at it to get a feeling for time. I don’t care if it is 11:35 or 11:36, I just think “Oh, it’s half past eleven”. At a train station, when seconds count, analog clocks are a dumb idea. However, then I also have my (digital) watch.
They are creating more and more idiots out there. The trend of “Help, our students don’t understand xyz, let’s stop teaching that immediately!” is disgusting. Maybe think of teaching it in a different way or just spending more time on that topic?