For a connected conditional, “If A then B” and “If B then A” ordinarily express different claims:
“If something is human, it is an animal” is universally correct.
“If something is an animal, it is human” is not universally correct; a horse is an animal.
The same predicates occur, but their order as antecedent and consequent changes the meaning. That is why categorical–connected and connected–categorical mixtures are separate connected patterns.
It does not follow that every reversal is false; only that reversal is not automatically equivalent.