Now consider someone who has killed, raped and pillaged for the greater good (by historical standards this is the regular war hero pack).
The parenthetical is true but the raping and (for most part) the pillaging was for personal gain, not the public good. It takes much more effort to contrive scenarios with folks who "rape for the public good".
By implying by omission that the killing was not mostly for personal gain, do you mean to suggest that it was for the public good, or to invoke a non-excluded middle?
If it's worth saying, but not worth its own post, even in Discussion, it goes here.