Both your previous definition of cheating and this new one about "fraud" imply other players. You can't defraud yourself.
As for lying online, I can do that without modifying the save game. I can edit screenshots with paint, or just make any claim I want. And if the community is aware that the save file is editable, any exaggerated claims will be viewed skeptically anyway. If you have an online leaderboard then that's a different issue, but then we're outside the single-player, offline game scenario.
Finally, about the EULA, if you're making your own game I don't see why the EULAs of other games should matter. It's your game, license it for use however you want.
It sounds like you are trying to justify it, and that's fine because it's your opinion. I guess it's difficult for me to empathize with you because I have never felt an impulse to search for a save directory and edit the file to enjoy a game. In fact, I had never heard of save editing before reading this topic. Um, by the way, those are not my definitions. I quoted a dictionary on both occasions for clarification.