Wrong ; it would have to "move nearly as fast". It should be fairly obvious that, regardless of altitude, it completes an orbit every 90 minutes or so, that's equivalent to the length of the equator.
Currently (22.00 UTC 21 April) over the southern ocean due south of Africa, in the next 90 minutes it will cross east of Madagascar, Myanmar, China, Kamchatka, the Aleutians, off the entire west coast of the Americas, cross Chile, Argentina and the South Atlantic to pass, again, off the southern tip of Africa.
So tell us how much slower it is travelling.