This is exactly the point grandparent was attempting to explain. The moon is going much, much faster than satellites in LEO. But it has so much farther a trip,

This is exactly the point grandparent was attempting to explain. The moon is going much, much faster than satellites in LEO. But it has so much farther a trip, it takes orders of magnitude longer to complete an orbit. If you're behind a satellite in orbit and want to catch up, counterintuitively you have to decelerate. This slows you, but puts you in a smaller orbit. The effect of the smaller orbit greatly outweighs any loss in absolute velocity, so you catch up to your target.