It is worthwhile to look at the past; before leap seconds the disagreement with UT1 was handled by changing the rate of UTC slightly, and that's probably even w

It is worthwhile to look at the past; before leap seconds the disagreement with UT1 was handled by changing the rate of UTC slightly, and that's probably even worse than leap seconds. And for a while the unit of adjustment was less than a second, varying from 0.05 to 0.2 seconds. I believe enough people have complained about subsecond adjustments, and thus leap seconds have survived only because not enough people have complained at that time.