This asymmetry, recognized in Williamson's knowledge-first epistemology, entails (18) and (21) have distinct truth conditions across possible cases, making them non-equivalent by definition.
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Williamson, Timothy(the philosopher whose view is being discussed)
A contemporary British philosopher known for his work in logic, metaphysics, and epistemology; he argues that everything that can possibly exist actually exists in some form.
asymmetry(Modal logic frame semantics)
A frame property expressible in hybrid logic by the formula c→□¬◇c, meaning if world x accesses world y, then y does not access x.
entails(describes a logical relationship between statements)
Logically forces or guarantees; if A entails B, then whenever A is true, B must also be true.
epistemology(Contrasted with purely descriptive scientific inquiry)
A normative enterprise that tells us how we ought to reason from evidence and how we ought to justify our beliefs, as distinct from merely describing how we do reason or justify beliefs
knowledge(Distinguished from mere true belief, which may be the product of indoctrination and need not exercise deliberative capacities.)
Justified true belief — true belief that has been arrived at through the exercise of deliberative capacities, including comparison of and deliberation among alternatives.