Answer: there is no fault to your reasoning. The apparent contradiction comes from a switch in frame of reference from Earth to moon. The Moon’s orbital speed is about 1 km/sec. This may be added to the satellite’s Lunar orbital speed (in an Earth reference plane) or not (in a Lunar reference frame)
For a physicist, there is no place in the universe which is “at rest”, so all motion must be defined in relation to something else. You may feel “at rest” in your Lazy-Boy because you are not moving in relation to the Earth, but the Earth is rotating and also orbiting around the sun and so on.
On its transit to the Moon, Orion is in an eccentric orbit around the Earth, so the News Channel gives its speed in relation to the Earth. Once Orion goes into orbit around the Moon, its speed is reported in relation to the Moon. The description switches back to the Earth frame of reference on the transit home.
Some of this apparent contradiction is confusion between “speed” and “velocity”. In day-to-day usage, they are synonymous. But “speed” is scalar (a one-dimensional number) whereas “velocity” is a vector (location, direction and length).
For instance, in a circular orbit, a satellite has a constant speed but its velocity is always changing. To confuse matters further, if the satellite is orbiting the Moon but if you are describing its motion from the Earth’s frame of reference, the satellite is speeding up and slowing down. This is because its speed is added (or subtracted) from the Moon’s orbital speed depending on where the satellite is in its orbit.