Indeed is is very easy to lead the LLM to the answer, often without realizing you are doing so.
I had a long ongoing discussion about possible alternate career paths with ChatGPT in several threads. At that point it was well aware of my education and skills, had helped clean up resumes, knew my goals, experience and all that.
So I said maybe I'll look at doing X. "Now you are thinking clearly! This is a really good fit for your skill set! If you want I can provide a checklist.". I'm just tossing around ideas but look, GPT says I can do this and it's a good fit!
After 3 idea pivots I started getting a little suspicious. So I try to think of the thing I am least qualified to do in the world and came up with "Design Women's Dresses". I wrote up all the reasons that might be a good pivot (i.e. Past experience with landscape design and it's the same idea, you reveal certain elements seductively but not all at once, matching color palettes, textures etc). Of course GPT says "Now you are really thinking clearly! You could 100% do this! If you want I can start making a list of what you will need to produce you first custom dresses". It was funny but also a bit alarming.
These tools are great. Don't take them too seriously, you can make them say a lot of things with great conviction. It's mostly just you talking to yourself in my opinion.