Show me videos, or provide links to videos, that would meet your requirements, as you must have seen them
I am yet to hear of any such videos for Saturn that show movement.
At this point, do you believe, or think that it's most likely, entirely caused by an effect, and/or blurry footage, because you believe that Saturn appears to be moving differently, in every one of the videos?
No, it isn't just that (and it isn't really that, again, Saturn doesn't appear to be moving. The air does.).
It is because I understand the limits of being able to try and resolve something through a turbulent atmosphere, and just how small the angular size of Saturn is.
It is because people have been able to use stacking to obtain quite clear images of Saturn.
It is because space probes which have actually gotten close to Saturn show similar images rather than that expected if your crazy chaotic motion was real.
But yes, the fact that the distortion varies depending on the atmospheric conditions, rather than being predictable and repeatable shows it is almost certainly an affect of the turbulent atmosphere. And it matches what happens during things like heat hazes.
When you have never once seen Saturn NOT in motion, nor has any video shown it NOT in motion
Except the videos you dismiss as fake.
(And again, it isn't if it is in motion or not, it is if it exhibits the crazy motion you want to claim it does).
knowing there is no known effect, which could permanently CAUSE anything to appear to be in constant, endless motion.
Except the effects you choose to ignore.
you simply reject all of this as evidence of Saturn BEING in motion
What evidence?
So far all you have provided is blurry footage shot through a turbulent atmosphere.
That is not evidence that Saturn is in motion any more than a video of a plane through a heat haze is evidence that the plane is actually moving like that.
Only the evidence matters. So why are you ignoring it all, dismissing it as NOT being evidence?
And now you are projecting yet again.
Yes, the evidence matters, yet you ignore all the evidence that shows you are wrong.
Instead you cling to evidence which is ambiguous at best, which cannot support your claims, all while refusing to provide evidence that would support your claims.
Do you really WANT to see two different videos of Saturn, taken at the same time, from two different points on Earth, because if you DO, why not do it yourself, with someone else?
Because I'm not paranoid, and already accept the plentiful evidence which shows Saturn is a planet which is very far away and doesn't display the crazy motion you claim it does.
And if I got the footage, it would serve no purpose, as it would show different motion, and you would just dismiss it as not taken at the same time or fake or come up with some other excuse.
If you really want to claim to have evidence that it is actually Saturn moving, rather than just a view through a turbulent atmosphere, then why don't you get the footage?
I had even provided a simple alternative to demonstrate that what you are suggesting would even be possible, film a 1 m wide sphere from a distance of 10 km showing it clearly as a sphere with no distortions. (Although I have now noticed I think I made an error with that, mixing up the radius and the diameter. It should actually be a 58 cm wide sphere, not 1 m).
Why do you ask ME to do it
Because you are the one making the claim. As such the burden is on you to prove it.
If you would like, I can even link it back to your analogy from earlier:
No, this is like you claimed to see flying pink elephants going around Saturn, and asked me to prove it's impossible for you to have seen them.
This is like you claiming to see flying pink elephants going around Saturn, and then when asked for evidence, including being provided a description of what would count as evidence, you just tell me to get it myself.
You are the one making the claim, the burden is on you to justify it.
Don't expect me to do it for you.