You're right of course, although I would argue that the difference between 1/11 the distance to the moon (geostationary orbit) and 1/4 the distance to the moon

You're right of course, although I would argue that the difference between 1/11 the distance to the moon (geostationary orbit) and 1/4 the distance to the moon are not off by an order of magnitude, compared to LEO or other lower orbits.