I'm currently taking a beginners python course and one of the chapter project examples breaks down basic sentence structure based on parts like nouns, prepositions, etc. The idea is to make several dictionaries based on these sentence parts with different words associated with them and then randomly pick words from them in the right order to make a cohesive (although not always intelligible) sentence. I figure most LLMs use a much bigger version of that with even more defined dictionaries to better encapsulate certain responses based on the topic.

There's nothing in that kind of program structure that would even come close to implying it's alive. LLMs are just a fancy version of Mad Libs.