The order in which pure functions are evaluated doesn't matter (except with respect to nontermination). You are claiming people say that the order they are app

The order in which pure functions are evaluated doesn't matter (except with respect to nontermination). You are claiming people say that the order they are applied doesn't matter - this is a bit ambiguous. The example above is changing what the functions are applied to - everyone agrees that this matter (outside some well structured exceptions).