Sigh, of course this is indeed the correct answer. Just look at the number of coaches in Spain and Germany with UEFA coaching badges, and then look here. That will tell you all you need to know.Piss poor English coaches is more of a problem IMO.
Let the FA sort out the grass roots problems, water and feed for ten years, allow to stand, then finally... Threaten to win trophies.
If you want to know why a nation with a population of 250,000 cam get to the quarter finals at the Euros, it is because they invested in coaches and grass roots facilities about ten years ago.