> What deeper lore am I not seeing here?

The "deeper lore" you are looking for is:
Examples of alpha-equivalence (here "≡" reads "is alpha-equivalent to"):

  forall a. forall b. Either a b
≡ forall x. forall y. Either x y
≡ forall b. forall a. Either b a

  forall a. Either Bool a
 forall b. Either Bool b