Here take a look at bench-marking :
i3-3220 vs i5-4570.. i3 3220 is just decent in gaming but it is still way behind the AMD Piledriver and i5.. If this guy was building a budget desktop then u could have recommended it to him but at this budget a i3 is just plain stupid..
Also
here you can see that the only thing that i better in i3 is that it consumes less power ( which, NO ONE CARES) ... And if you see the 3D marks score, their is a diff of 2000 ... And i see neither of the CPU in the tables above.. They are old bench-marking of 2500k and Bulldozer processors..