When he said "it had nothing to do with integrity" I think he meant that it had nothing to do with personal integrity, i.e. he's not bothered by lying to custom

When he said "it had nothing to do with integrity" I think he meant that it had nothing to do with personal integrity, i.e. he's not bothered by lying to customers. It's clear he cares about the morale and culture of his team, and I guess he's making some distinction I don't understand between integrity and feeling bad because you're the guy on staff parading around a decoy chicken all night. My point is that maybe they should also think about other kinds of integrity, if only not advertising a product you aren't really selling, but probably also not lying to your guests.