Chapter XXII. Of Lawful Oaths and Vows

III. Whosoever taketh an oath, ought duly to consider the weightiness of so solemn an act, and therein to avouch nothing but what he is fully persuaded is the truth. Neither may any man bind himself by oath to any thing but what is good and just, and what he believeth so to be, and what he is able and resolved to perform. Yet it is a sin to refuse an oath touching any thing that is good and just, being imposed by lawful authority.

The new emphasis on individual liberty of conscience explains the omission of the bolded phrase.
Once again the key lies in the First Amendment to the Constitution of the United States and its guarantees that no one may be compelled to profess beliefs or make declarations contrary to their faith or conscience.
That sentence could be understood as a contradiction of these principles.