If it is an emergency affecting the health of all citizens equally, the there is no reasonable argument for excluding any particular group, at least not one so large as to obviate the intended effect of the emergency decree, and therefore in this case the agency has exercised its discretion unreasonably which invalidates the decision.
The president doesn’t have the same degree of control over USPS as other parts of the federal government because it is an Independent Agency of the executive branch.
Thus he can only recommend, not mandate.