“This why Bais Din would be stupid to authorize it as they gain nothing by authorizing it but can lose fined so severely that they loose everything they own.”
If they rule that way, then it is not stupid. If it’s stupid, then they don’t rule that way.”
While it’s important to rebuke someone for his transgressions it is equally important not to do it in an embarrassing way. So for the Bais Din to sanction embarrassing the husband not only wouldn’t help the situation but may cause additional problems such as them being fined by civil court besides any punishment in the world to come.