The central argument is that the people are focussing on the symptoms and not their causes. We use medical analogies. Most of the ills in the education system as a whole are the products of systemic failure caused largely by mad political interference. Remove those and the symptoms disappear. 
I say again you have to act on both
A key root cause of issues in education is that every new politician in the role thinks that they have to make their mark by changing the system usually placing extra burdens on the educators and rarely giving a tinkers cuss about the students. Gove was a prime example of this.
Quite like the idea of some sort of independent body but the devil would be in the detail of actually making such work