The note explains that the antecedent of a connected conditional differs in its logical role from the consequent. The two alternatives of a disjunction are not distinguished in the same way.
“An integer is even or odd” and “An integer is odd or even” preserve the same basic alternatives. Reversing their verbal order does not generate a new disjunctive relation.
Therefore, for the mixed components of an outer disjunction, a categorical–connected pair and a connected–categorical pair are not counted as separate structural kinds.