Show the following benchmark to your friend. Hitman: Absolution is a CPU dependent game so a powerful CPU can provide better performance than a weaker CPU. The A10-6800k is not listed, but it is only a slight improvement. The i5-4570 is not listed either, but the slightly slower i5-3470 is in the benchmarks. While the benchmark uses a Radeon HD 7970, it still shows that an AMD APU will provide lower performance.
I am pretty sure most people would say going from 58 FPS down to 36 FPS is not an improvement in performance.http://www.techspot.com/review/608-hitman-absolution-performance-benchmarks/page6.html