Loads of people fall into this trap and most of them end up having to pay, unfortunately. London councils are notoriously venal and rapacious, even when like your case, they have lost no money whatsoever. They know that if you take them to London Tribunals, you'll lose because your case is based on mitigation, i.e you made a mistake when entering the parking details. Adjudication tribunals cannot allow cases based on mitigation, after a High Court decision of some years ago.
I use Ringo a lot up here in Crewe and Nantwich and my Ringo app has five cars on it ! So care needed when entering details. Up here they's probably let me off, but in London forget it.