you are arguing with math proofs here, the information is not gone, if it was a real video (as opposed to adversarily generated video)
I get that what you're describing can statisically "unblur" stuff you've blurred with overly-simplistic algorithms.
I can provide you with real-world footage that has "natural" motion blur in it, if you can demonstrate this technique working? I'd really like to see how it's done.