I thought it was the opposite. Clocks on the ISS run slower compared to Earth clocks because of their higher relative speed causing Einsteinian Time Dilatation.
https://planetary-science.org/astrophysics/time-dilation/
Clocks on the International Space Station (ISS), for example, run marginally more slowly than reference clocks back on Earth. This explains why astronauts on the ISS age more slowly, being 0.007 seconds behind for every six months. This is known as time dilation, and it has been frequently confirmed and validated by slight differences between atomic clocks in space and those on Earth, even though all were functioning flawlessly. The laws of nature are such that time itself will bend because of differences in either gravity or velocity, each of which affects time in distinctive ways. This phenomenon will have significant implications for interstellar or intergalactic travel.
You’re probably right: I’m going by memory, and it ain’t what it used to be..
The slowing has absolutely nothing to do with relativistic time dilation. It is difference between an atomic clock at sea level, co-rotating with the earth’s surface and time determined by rotational rate of the earth.
What you posted is exactly right. Many many non-eclipse moons ago, I did a talk for the astronomy club I belong to about this very subject.