LLMs are deterministic, though. Much like the video.
AFAIK using the same input tokens, weights, and numerical operations will lead to the same probability distribution for the next token. It uses pseudo-randomness to enable temperature, etc. Like a fuzzy video.
"Markers that would indicate consciousness if observed in a biological organism" just does not mean very much. A PR phrase used to hype the IPO.
Videos and LLMs are not deterministic in the same sense at all.
LLMs are deterministic in the same sense as biological processes. And a faithful simulation of a brain would have all the properties you note.