I think best mental model of what an LLM does, statistically generating continuations word by word, would be a football stadium full of people, each with a keyboard, and a giant jumbotron screen they can all see... A question (cf ChatGPT user input) gets displayed on the screen, then everyone types on their keyboard what the first/next word of the response should be, and majority wins with that word added to the screen, then they all vote on the next word, etc ...

This is really a very close analogue to how an LLM works, and it would be weird to describe the output appearing on the screen as the "take" of the football stadium itself - it's the group statistics of all the people (cf training data).