That's the nature of thought frameworks. You need to fill in the gaps yourself. It's still useful to have an organized approach. In my experience, people can know how well each technique would be suited to the task at hand if asked. But, they rarely consciously go through each technique they know and consider if it's the right approach. Most people would be well served to do this more often.

Btw, this is a big failing in interviewers who help. Asking the right questions (what data structure could you use here?) is incredibly helpful. So helpful that you're not testing them on a slow moving, relevant skill (structured thinking) but instead a fast moving, less relevant skill (what data structures do you know?). Bad move.