So we should close failing schools, but schools aren't the problem? Just trying to make sense of your argument.
I don’t say never so I suppose a school could fail for endogenous reasons in which case action is needed. But there are less drastic actions than shutting it down, such as firing all the admins.
Would you consider the possibility that the negative synergistic feedback loop you describe is actually caused by failing schools, instead of the other way around?