Don't get me wrong, I'm not arguing that it is happening, I'm just defending its logical consistency.
Although, I will point out that I have never seen a university where ex-science administrators outnumber ex-humanities administrators. It's quite believable that, as a result, humanities culture would be more common among administrators than science culture. As a result of that, a humanities student might think that the admins have "no culture in particular," because they have humanities culture and that's like water for a humanities student. At the same time, the scientists will be thinking, "nobody around here thinks like a scientist."