Although in this use case, it's likely because GPT guided you to write the same story as somebody else. Talking with an LLM about an idea is a great way to make it more predictable and homogenized. If you're fixing a bike or writing software, this is usually a good thing.
Gemini not long ago, when you said something "useful" said thank you, I will use it to help other users with similar problem. When asked "why would you do that, I thought our chat is private?" it would respond "Apologies. My mistake, of course this chat is private and your information will not be used." Funny.