If ignored since their introduction in 1972, official time would be out of sync with the Earth's rotation by 26 seconds. There's been a lot of running around and gnashing of teeth to correct 1.845668179868485e-7 error that isn't even an error most of the time. The 26 seconds of error fleshes out as 7.389 meters at the equator when using celestial navigation and for anything that accurate we use radio signals not a sextant.
The Earth's rotation and revolution are useful abstractions at a certain level of granularity. But the reason we have atomic clocks is because those abstractions break down when we need precise measurements of reality. Reality is real because the rotation and revolution of the Earth are not cosmological constants. Leap seconds are an expression of the superstition that humans control the arrow of time: as if one thing happening after another would cease to be the case without them.