What's the difference between photographing the real moon and photographing an image of the moon?
You might say that the real moon is infinitely far away and has a straight line of sight. Okay, what about the moon through periscope mirrors? The moon through binocular lenses (in front of the phone camera)? What about the real moon next to the moon reflected off a window? What about the moon projected through a telescope onto a piece of paper? Which one of these "moons" should be subject to image "enhancement" and which should not?
You might say the real moon has a certain angular size and brightness... but again, lenses, filters, cloud cover, distances to artificial objects, brightness of artificial objects.
I don't think there is any realistic way to distinguish the real moon from a picture of the moon.