Two facts that should be kept in mind are (1) the linear order is not obtained by putting quantifiers together in the desired order, which contradicts the predictions made by Montague or May's theory; (2) the linear order is not determined by case or grammatical functions, which supports the prediction of Hornstein's theory.
Two crucial aspects to note are (1) the linearity isn't achieved through the combination of quantifiers in the expected sequence, which contradicts the predictions of Montague or May; (2) the linearity isn't established by case or grammatical roles, which is consistent with Hornstein's theory.