Origin scans the games "system" files to check for changes. It is NOT specific to cheating either. At this point, people are safely playing the game with graphical tweaks and other non-cheat related changes. However, should EA and Bioware decide to enforce any change, then you could get banned without warning.
EA has realized, like Steam, they can enforce whatever counter cheat methods they want by forcing us to use Origin. Now, I don't really mind, but I will should I suddenly lose access to my games because I chose to cheat in single player. I'm not happy with the forced multiplayer in ME3 anyway. I buy FPS games for MP, and RPG/Action games for my personal, single player, enjoyment.
Should EA attempt to block my access to any game I paid for, I will most likely bring on a class action similar to what happen to Apple when they declared Jailbreaking was illegal. We know where that went - the courts said it was perfectly legal to modify the code on a device the user owned.
Trainers and setting files, I believe, would fall into the same category of code modification. After all, we're cheating in a single player game; not modifying code to steal it!
The whole point, here, is Thomas DID NOT get his S and M's mixed up. He really meant singleplayer because it does, supposedly, affects the multiplayer.
I call BS on that since I didn't buy the game for, nor was I aware it required, multiplayer gameplay.
I will tell you this. Right now. Your Law suit attempt will fail against EA if you did. They have clearly said in there TOS that you violate any sort of rules or do anything naughty in there eyes and they will take your rights away. This has been looked over by lawyers again and again. They are in sound mind to stop you access.
Personally I have no problems if they do. Cause if anyone is caught cheating they should have there access removed! Again Cheating in any form on MP is totally wrong!