Earlier quoted context omitted.
This sounds really patronizing. I would be careful with that phrasing. People who don’t want their problem solved often know the solutions and don’t like the tradeoffs or change they entail. It is often not a knowledge problem.
It also implicitly discounts one of the most valuable processes: verbal processing. Some people, myself included, find themselves verbalizing a problem and the tensions in every choice and monitoring the logic and emotional response present in saying it out loud. In this way, listening and solving aren't too dissimilar. Simply listening can give the speaker an appropriate environment in which to solve their problem.…
Not really. The question, more generally, is: what should my role be in this conversation? Should I be an active participant in solving the problem? Or should I support you as you work through it?