Have you ever played frisbee? Why would Tom need to see the frisbee to be able to infer that that's what they were playing?
Assuming that the telescope that Tom linked to is the one that he uses in his observations, it only has a maximum theoretical magnification of 226x. I would contend that this is woefully inadequate to resolve human sized objects at a distance of 20 miles or more as Tom claims.
Do you agree that you can resolve a person quarter of a mile off in the distance without a telescope?
Do you agree that if you could increase your magnification by two fold (2x) you could see a person half mile off?
If so, what makes you think that you couldn't see a person 20 miles off with a magnification of 226x?
There would have been no point in conducting the experiment with one of those so-called 500x telescopes, as 200x is the maximum theoretical magnification ratio a telescope could achieve through the atmosphere.
Again and again the naive Tom Bishop lies about a subject that he does not know even the simplest basics, and believes he can fool those of us who at least know the basics of the subject.
The subject of this discussion is
resolving power, not
magnification!
Any telescope can be fitted with the right eyepiece and one or more Barlow lenses, or tele-extenders, to achieve enormous amplifications, well above the 500x he mentions. But the resolving power (the capacity to show two objects that are close to each other as two objects, not just one blob) is actually reduced when pushing a telescope to the maximum magnifications.
Anyone who does the arithmetic that Tom Bishop is doing is, in effect, shouting to the four winds that he has never used a telescope. He does not understand that we are talking about limitations imposed by the fact that light is a wave of some 400 to 700 nanometers of wavelength, and that not even a 4.5 inch super-telescope brought here by the aliens could break the limit we are talking about.
All of us who have used telescopes instead of copy-pasting images of them from the Internet have looked at some object with a medium magnification and then with the maximum possible magnification, only to see that the image is less sharp and that under some circumstances you actually see less detail, not more.
Once again, the calculations shown in this forum many times, two of them by me, assume a "perfect" telescope of 4.5 inches of aperture, just like the one in the photo, not a real life, imperfect telescope, and even we have shown that people would be seen as indiscernible blotches, only the biggest beach balls would be seen as indiscernible blotches, small beach balls, arms, legs and frisbees would not be seen at all.
And using the calculations shown by ClockTower, which are based on real life telescopes, not "perfect" ones, with a 4.5 inch telescope no people at all can be seen, not even giants. It would take a much larger 16 inch telescope to see an 8 feet person.
Of course, Tom Bishop could take a photo or otherwise demonstrate that what he claims he sees is real, and then he would rewrite all optics books ever written and could revolutionize all physics based on waves.