Sure but now that's just arguing in circles. Whatever I'd say about what they've shown they need in a simplified example for discussion, you can find a matching argument that it's not what they really need, but that argument doesn't address anything. It's a "no true scotsman".

Assume for the sake of the point, that you are a competent and experienced dev, and somehow you have correctly ascertained something that the customer needs, most likely by talking with them.

The point of this discussion is to ask, are there circumstances where someone needs to "work on one's own" for a while before others will recognise a solution is in progress to the clear need of their customer. And are there circumstances where not doing that will result in the solution being blocked, without any other useful replacement taking its place. There are countless anecdotes, and in all walks of life not just software development, pointing to the answers to both of those questions being a strong yes.