While I'm not positive about the authenticity of this statement, I have also been told by someone at a Genius Bar that when Apple does replace the logic board for a GPU failure, it is replacing it with an identical board, with the same model GPU which means that if it has failed once for you, there is a good chance that your usage patterns will cause the replacement GPU to also fail sooner or later.
A little over a year ago, I had a failure that appeared for all intents to be a GPU failure. It started with scrambled graphics on the screen, even during the boot process where the apple logo is on the grey screen. It went so far as to not show anything on the display at all, but a remote access via LogMeIn showed the screen perfectly. When I took it to the Genius Bar, they told me it definitely wasn't the NVidia failure and the replacement logic board would have to be paid for. Luckily, my AppleCare was still active, and that covered the cost of the replacement logic board for me.