Yes. That would be my short answer. The slightly longer answer would be that within reasonableness—the reasonableness standard is established by the Supreme Court—there are principles of proportionality established. To the extent that the language used is specific to an administrative law context, which is what we're dealing with here, were the government to issue an order that was not logically coherent with what was trying to be accomplished, it would be vulnerable to a challenge for being unreasonable.
To the extent that there is a concern about charter rights separate from administrative law decisions, yes, the Oakes test with reasonable limits criteria, including proportionality in the legal sense as opposed to just the common vernacular sense, would absolutely apply as well.