Earlier quoted context omitted.
Pretty sure there are lots of things that you use everyday that actually require precision time, such as GPS.
Leap seconds have nothing to do with precision time. It's a non-periodic alteration to the definition of UTC. Those niche applications that require second-accurate knowledge of Earth's rotational accuracy don't need to rely on leap second changes to UTC; they could get that information out of band, and will need to anyway when they need sub-second accuracy. The 99.999% of other applications that don't need to know Ea…
I prefer dropping leap seconds, but I wouldn't call them misguided. UTC and leap seconds come from maritime celestial navigation, where tracking rotation is actually important. Civil time then just piggybacked on that, which at the time probably was perfectly reasonable solution.