The problem with that example is that it's not GPT-3 telling you about itself, it's GPT-3 serving up a roughly averaged version of every text explanation it's ever seen that might provide a convincing answer to your question.
I agree, this was more of a test of a technique where I got ChatGPT to generate prompts to interactively improve a prompt from another ChatGPT instance: https://news.ycombinator.com/item?id=33857328
If you ask ChatGPT if it is intelligent or something like that it will always say something like “I am large language model trained by openai etc.” so I worked with another ChatGPT instance to interactively get an increasingly detailed answer to whether it is intelligent or conscious.
I also use this technique for other things like for example instead of saying “Generate a React implementation of cookie clicker” ask one ChatGPT instance to “Generate 10 prompts to ChatGPT to generate a React implementation of cookie clicker” this meta-prompt engineering technique is the most useful technique I have come up with so far.