Thoughts are fleeting. 15 minutes could be filled with hundreds or thousands of distinct concepts. Not to mention active recording is different from passive observation.
I found it completely useless in my therapy seasons. These trains of thoughts are more like hallucination than real thoughts, because you think different at writing than during the day. I’m not even sure if keeping a diary makes you understand yourself better or just become more coherent with your delusions.
Typing in a journal text file for 15 minutes every morning is already a thing... and it's free.