Personally, saying the AI “knows” something implies a level of cognizance which I don’t think it possesses. LLMs “know” things the way an excel sheet can.

Yes and the Excel sheet knows. There's been some stick up your ass CS folks in the past railing about "computers don't know things, sorting algorithms don't understand how to sort", they've long since given up. They claimed that saying such things is representative of a bad understanding of how things work yet people casually employing that kind of language often code circles around people who don't, fact of the matter is many people's minds like to think of actor forces as animated. "If the light bridge is tripped the machine knows you're there and stops because we taught it not to decapitate you".