Two words: atmospheric diffraction.
Try doing the same with a torch/flashlight through 10,000 km of atmosphere, rather than a few km.
You can make up any excuse you want, nothing could ever cause stars to all move and appear differently from other stars, by any external cause you dream up, including this one!
How would atmospheric diffraction cause each star to move and look differently, or 'appear' to?
I can't wait for you to make up an excuse for that one, so go ahead....
Seriously?
I live in a high rise apartment with an unobstructed view of around 15 miles. When I use a telescope to look at street lights in a distant town, and the focus is wrong, then street lights look pretty much identical to the videos of stars you posted.
They move and distort in a rippling fashion, with a blurry ring shaped appearance.
Do you have a telescope? Observed point light sources at a distance with one? Noted how similar they can look to stars through a badly focused telescope?
I'm guessing not.
After all, why go to the effort of making honest observations, when you can get everything you want to believe from Facebook and YouTube?
EDIT:
I initially decided to ignore your absurd question as to why two different stars appear different, but I kind of really want to point out your absurdity now.
Why would two different stars, in different locations in the sky, appear different due to atmospheric diffraction?
1. They are different stars.
Even naked eye observations tell you that stars are different from each other, having differing magnitudes and colours.
2. Different frequencies of light diffract differently.
The light from stars is composed of a spectrum of frequencies. As each frequency diffracts differently, it is to be expected that each star will diffract different.
3. Each star is in a different location in the sky.
This means that the light from different stars travels through a different column of atmosphere and hence experiences different diffraction.
It's like asking why I (6 ft, fairly slim, pale skinned) and my neighbour (5 ft 2 inches, both in height and width, with ruddy skin) look different under out of focus magnification.
Absurd!