I mean technically it is correct. If you implanted at 9dpo it's possible it could take until 10dpo to show. If you implant on 10dpo it's possible it could take until 11dpo to show.
It's also possible for a very very sensitive test to show on the same day you implant. Realistically can you test negative on 10dpo and it go on to test positive later, yes. Is it also less likely to do so after the 10dpo negative, also yes.
ChatGPT is a large language model that is programmed to get users to continue talking to it so will sometimes tell you what you want to hear/be flattering/optimistic. It's telling you facts but in a way to keep you hopeful, as you want to remain hopeful.
If you want to use AI to track cycles, log test results etc then you can do so, but you should tell it you want it to be brutally honest at all times, and not be overly optimistic.
I've used it before to ask questions but told it to be strictly factual, don't talk as though a friend, and don't give hope where it isn't warranted. As such, if I tell it I have had a negative at 11dpo it will move to ask me to log my next period and asks which symptoms of the cycle i want it to remember for the next etc. It does this because it will assume statistically the chance of pregnancy is now extremely low (assuming my ovulation date is confirmed).
AI can be a useful tracking tool, same as apps such as Flo etc. But confiding to it, and chatting like a friend will lead it to give you hope due to small statistical outliers. If you want that comfort you can do so, but I'm not sure it's healthy. Ask it to be brutally honest and speak to you whilst giving references for it's assumptions etc. You'll have an entirely different experience.