Comment by thaumasiotes

If they lose in court they have to pay court-determined attorneys' fees. That might be sufficient to get them to appeal automatically.

This is a tension you sometimes see discussed in the context of wrongful imprisonment, where one faction says that if you get tossed in jail for 30 years over something there was never any evidence that you did, the state should have to pay a penalty, and another faction says that if you penalize the state for randomly imprisoning innocent people, those people will never be allowed out of jail.