Obviously we don't know what makes for consciousness, but it seems extremely likely that it requires some sort of persistent internal state and continuous experience. LLMs don't do either of those things after training.
Otherwise, you can't explain e.g. smooth perceptions of low FPS stimuli, delayed reaction times, and must ignore obvious limits on various biological and neurological rhythms, or other possible limits on continuity (e.g. quantum stuff) and rates generally.
These people are conscious ...