In your anecdote I still see this as producing value. If I was lacking in knowledge about the problem space, and therefore fell into the trap of pursuing a "plausible but also super duper not correct" answer from an LLM, then I could have easily fell into that trap solo as well.

But with an LLM, I was able to eliminate this bad path faster and earlier. I also learned more about my own lack of knowledge and improved myself.

I truly mean it when I say that I have never had an unproductive experience with modern AI. Even when it hallucinates or gives me a bad answer, that is honing my own ability to think, detect inconsistencies, examine solutions for potential blindspots, etc.