This time period in the GC is for identification of problems, and I have to say that I wouldn't identify this as a problem in need of a solution.

The problem with the SPSF is that it doesn't recruit enough, or effectively, and its retention rate isn't stellar either. I don't think either problem is likely to be solved by making it independent of the Cabinet and letting its members pick their own leadership, because anyone who wants to recruit could run for Minister of the Army under the existing system, and could recruit even if they're not Minister of the Army. Not every problem is constitutional or structural in nature, and this is one that isn't.