Add to that, LLMs should be discouraged from pretending to report on their internal state or "why" they did anything, because we know that they are really just guessing. If someone asks "why did you make that mistake" the answer should be "this is a language model, and self-introspection is not part of its abilities"

Outputs that look like introspection are often uncritically accepted as actual introspection when it categorically isn't. You can, eg, tell ChatGPT it said something wrong and then ask it why it said that when it never output that in the first place because that's how these models work. Any "introspection" is just an LLM doing more roleplaying, but it's basically impossible to convince people of this. A chatbot that looks like it's introspecting is extremely convincing for most people.