For a simple "Cure All" to this problem, Just power a Good Relay from a standard module. This automatically disables the sensing because you no longer are disconnecting the relay when opening the door. Also the relay will handle the power much better.
If the standard module handled the dishwasher for a while, it could be that it turned on or off while the dry cycle was active. That would be enough current to scorch the contacts. ANY switch can handle more pass through current that it can switch on and off.
If you have any trouble figuring how to connect a relay to a standard module, I'm sure there are many people here that can help. I'll draw up a simple print, but that might or might not help. I am in the habit of never modifing modules if I can help it so there is never a question of UL or other standards being broken. (Insurance, etc.) I currently have a 60A 220V supply to the garage controlled by a standard module so I can cut power if I forget, without going out to the garage.