Because it is not.
He was clearly talking about an observer on Earth.
The moon's rotational and orbital period are the same so people on Earth see roughly the same face the entire time.
DSCOVR is not on Earth, which allows it to see the far side of the moon, something not visible from Earth.
If you meant the images from DSCOVR always show the same face, that is incorrect.
For example, here is a series of images (video) which shows the near side of the moon, during a full moon.
https://epic.gsfc.nasa.gov/epic-galleries/2015/lunar_occultation/lunar_occultation_translate_cropped720.mp4If you mean just over that tiny time frame of the video provided before, firstly, that is only ~ 5 hours. The moon has a rotational period of roughly 28 days. That means over those 5 hours it would have turned a massive 3 degrees. So basically nothing. And the moon isn't even entirely in frame for a lot of it so you would expect even less.
But even then, IT DOES ROTATE.
It is only when watching the video and mentally trying to compare the 2 that it appears to not rotate due to how small the change is.
But if you isolate the first and last frame which has the moon entirely in view, and then overlay them so the moon is in the same location for both and rapidly switch between them you can easily see the motion.
https://i.imgur.com/btURe7m.gif(I know you claim you wont be able to see the image here, but you can test yourself as you wouldn't trust what I present anyway, so this is provided for anyone else looking on, and not done as an image due to the rapid flashing, so those who suffer from epilepsy should probably avoid it).
But of course, all of this is still off topic.
Are you planning on either justifying your claim that satellites need to move relative to Earth or admitting your claim was wrong?