Actually I believe that it does change the outcome, I can't be sure though can I
Without saying too much about the "story", there is a point where you offer a lady a flight in your Spitfire. I can only assume that this can happen at some point in the story, as it would explain the inclusion of the "Heartbreaker" Spitfire model (in which you have a woman on your lap while flying) in the Quick Mission selection. However, if you have Battle Failure after a certain mission, you end up standing her up. I can only assume that if you were able to be successful that would be different.
It makes me wonder how many other outcomes might have changed a bit if we were able to succeed.