You can't rewrite history, or can you? It depends on how you look at it, I guess. You can remember an event one way or another and even document it how you choose. You can try to "fix" any mistakes and remedy any mishaps. However, neither of these options change what transpired.
This thought crosses my mind, now and again, regarding my habits. For example, I try to read every day for 30 minutes. I track this habit, along with others, in a simple little app called Done.
If I miss a day of reading, can I read for an hour the next day and count it as two sessions? Well, of course, there are no rules, but there is integrity. I have a hard time feeling good pretending that I read one day when I didn't. But then again, is it about the tracking or the value of practicing healthy habits?
Taking a step back reminds me that it's the latter. Tracking is just a tool to keep going and check in on progress. That's the risk in gamifying anything. When the game becomes more important than the purpose, it may be time to re-calibrate.