Don't take my word for it and listen to other peoples opinions, but I don't think it will. For games at least a graphics card is always the better upgrade if the CPU is solid.
Cons:
-Airflow, not the best with the front and top panels installed (around 5-7 degrees difference)
-Cable room, there is very little room behind the motherboard. I had to use Linus' lay on the back of the case method, to get mine shut. This is with hours spent on cable management and probably over 100 cable ties.Although I do have a lot(!) of cables with my cooling system. I see other H440 builds with very few cables fitting nicely.
-Fan hub, 10 port fan hub at the back can't be controlled making it fairly useless, but its fine for the stock fans I guess. I have my lighting attached to it.
-No top fan filter, if you plan on a top intake you'll need to buy aftermarket filters.
Pros:
-Quite! I creates this muffled sound on the fans which is nice. All you hear is the air movement, no whine from the fans. Its not the same as slower running fans. It helps extremely high RPM fan noise as well.
-Looks, its a good looking case... You can see mine in my Sig.
-PSU shroud, the shroud means you only show cables you wish to be shown. Traditionally you will see cables leading out of the PSU going into cable routing holes. Most builds in this case only make visible the 24pin and the GPU power cables. (And the EPS maybe). It would also help to hide unused cables, although not something I did.
Given all this I love the case... But I would recommend the Phanteks Enthoo Pro...