that would be awesome for slots wins since most have a replay option, but i don't think that's available for live games like crazy time.
I think it's fair to assume that game providers keep records of their live games and game shows. But the question is, would they make them available to individual casinos on request!?
i assume they do keep records of bets played, rounds results, etc... they have to keep that for audits, or in case of a bug, machine error, dealers mistakes or something like that.
but the full live feed? idk, but i would imagen they keep a backup for a limited time or permanently in case something get flaged by their system or by one of the casinos they work with.