There have been serious criticisms of the FA. For example, they were asked by Liverpool to switch the game to another ground, because of previous problems. In fact, there had been a game in 1988, where crushing was experienced by fans, some of whom complained. Of course, the response was a magisterial silence by the FA.
Also relevant is the fact that the ground didn't have a valid safety certificate. You would think that the FA would have led an investigation into what happened, but I guess, they couldn't care less, and were quite content that fans were blamed, and after all, where's the money in it?