Re: Confused..
LEAs have a fundamental failing inasmuch as poor counties are poorly funded.
The same applies to local NHS funding and housing
National bodies are vastly more efficient and not as subject to local politics (which is VASTLY worse than national level stuff due to so few people taking an interest in the antics of their elected local officials)
Don't take my word for it, look at how well national level education, health and housing departments do in places like New Zealand (the isolation and low population density there, with high costs of keeping offices interconnected demonstrates economies of scale quite well: It IS more efficient - and when politicians threaten an national service more people take note. Localism is a path to privatisation and carving up for profit)