I think the Berlin Interpretation is quite outdated and was not even good at the time, but I will defend it on this one point. It does not provide a threshold for what is and is not a roguelike, the Berlin Interpretation just lists criteria that are important to consider when determining how roguelike something is. The heap paradox is an exercise for the reader.
LLMs don’t “know” anything. The true things they say are just as much bullshit as the falsehoods.