Why am I wrong? I have no idea what you are on about. I wasn't talking about the review you linked I clearly stated a different video review for him to look up.
The Prodigy build is an i5 3570K @4.6Ghz and a Tahiti 7870 OC'd. That is feasible for him to build on his budget he doesn't need to make it Mini-ITX. Tom clearly states at the time I quoted earlier that the i5K build beats that "All AMD rig" which is in the review that you linked. The 8350 is the higher end CPU to what he had his eye on and the 7970 is obviously out of his price range too.
You haven't even linked to any youtube video, why should I go searching?
All I know is that the "All AMD" review I linked to for the OP to read shows that the cheaper CPU can do a good job at playing games, it's within the OP's budget easily enough and his final spec works, but I was able to squeeze a quicker gfx card in.
Of course a i5K sandybridge/ivybridge/haswell will beat the top AMD cpu everyone knows that.