Sounds profound, but I wonder whether the correctness of these koans shows anything besides the selection bias.
Indeed. If you claim all the time that things aren't true and yet aren't not true, and that something is one with some other thing, some of the claims are going to resemble actual insights.
If this came from real understanding, why did they single out "the enlightened man" when it applies to everyone?
From "Hyakujo's Fox", #2 of the 49 koans in The Gateless Gate:
Mumon's poem:
It really makes you wonder how the hell they got that far while still believing that the wrong answer could turn you into a fox.