It appeared you were making allegations that management were using it to feather their own beds. That's not your actual concern? You're raising a future, potential issue with it rather than what you think is a current, actual issue?
To make it clear my concern has three parts:
1. Ask your DFO or his Deputy whether they make any personal financial gain from fuel savings achieved? If you have indeed asked them, then
yes or no do they secure pecuniary benefit from your colleagues saving them fuel?
2. Will the app be utilised for performance management of pilots?
Suggest you read the following article, read what Cathay Pilots, Ryanair pilots among others say on the matter before you dismiss any probability of the app being a performance management tool.
3. Do you consider yourself a 'management pilot'?