That's not Eagleton's point. The guy's a literary critic and is upset that STEM fields have taken the prestige position in universities, which to him means universities are "dying". While I have probably more respect for the humanities than most people with a scientific background, Eagleton makes the error that a lot of people with his background do, which is to assume that only people trained in the humanities are capable of critical thinking and that STEM fields generate robots with no interests outside their technical fields.