The author is saying that that difference matters, that it isn't just a philosophical point but is actually a fundamental aspect of this new technology. I can spit out a bunch of words about war, and so can an LLM, but our understanding of war is limited to textual representations of it. Thomas Hobbes made this exact point centuries ago when he said, "Words are the wise man's counters but the money of fools."
As a complete aside, I don't agree that "Good Will Hunting" is a power fantasy. The whole point of the movie is that that power was illusory, and that it has nothing to do with what really matters in life.
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.