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You're ignoring the core analogy. The author's point is that someone (or something) can be verbose and articulate about a topic without having any real knowledge or experience of it. I can talk at length about war because I've seen Saving Private Ryan and read a hundred books on the topic, but do I really understand what it's like to be shot at, or to watch my friend die? No, I don't. My cousin's husband does, though…
The scene wasn't about what the author of the blog thinks its about. The speech is about Will accepting that other people might not be as well read as him but they are still worthy of listening to.
There is no link between Will Hunting as a character and a LLM. It's trying to shoe-horn an analogy while disrespecting its subject matter by not examining it carefully.