What details in "The Devil and Tom Walker" reveal that Irving was specifically critical of the values held by the Puritans of Boston?

When Tom initially meets the devil, Old Scratch tells him to get off of his grounds. Tom responds by saying that the grounds belong to Deacon Peabody. The devil then comments,

"As I flatter myself he will be, if he does not look more to his own sins and less to his neighbor's. Look yonder, and see how Deacon Peabody is faring" (Irving 4).

Tom then turns his head and notices that the tree looks "fair...

When Tom initially meets the devil, Old Scratch tells him to get off of his grounds. Tom responds by saying that the grounds belong to Deacon Peabody. The devil then comments,

"As I flatter myself he will be, if he does not look more to his own sins and less to his neighbor's. Look yonder, and see how Deacon Peabody is faring" (Irving 4).

Tom then turns his head and notices that the tree looks "fair and flourishing" on the outside, but is rotten to the core. Irving is addressing and critiquing how Puritans value external appearances more than a person's internal substance and integrity. Interestingly, Irving criticizes an ordained minister for being superficial.

Later on in the story, Irving critiques Puritan values by addressing how the church members react to Tom's zealous attitude towards religion. He writes,

Indeed, one might always tell when he had sinned most during the week, by the clamor of his Sunday devotion. The quiet Christians who had been modestly and steadfastly traveling Zionward, were struck with self-reproach at seeing themselves so suddenly outstripped in their career by this new-made convert (Irving 11).

Irving is critical of how a person's private sins are public in a Puritan community. Essentially, Irving is critical of the Puritan's obsession with external appearances and portrays them as a superficial group of people throughout his short story.