If you're even considering going to go to all the trouble of setting up these weird lights and specialized algorithms for some event you're hosting, just shoot your own video of the event and post it. Done.
"Viewers" aren't forensic experts. They aren't going to engage with this algorithm or do some complex exercise to verify the private key of the algorithm prior to running some app on the video, they are just going to watch it.
Opponents aren't going to have difficulty relighting. Relighting is a thing Hollywood does routinely, and it's only getting easier.
Posting your own key and own video does nothing to prove the veracity of your own video. You could still have shot anything you want, with whatever edits you want, and applied the lighting in software after the fact.
I'm sure it was fun to play with the lights in the lab, but this isn't solving a problem of significance well.