WRONG. WRONG. WRONG.
*First of all, I do recommend you get an Asus GTX770 (or wait for perhaps the GTX860 once we have more info) but you should know the above info is wrong.
More info:
(I'll use the FX-8350 simply because more graphs are available. Assume the FX-6350 to have the same, or slightly worse performance)
The FX-8350 bottlenecks Skyrim by over 40% in some scenarios; it's even worse in Starcraft 2 which gets 60% better performance an a modern i5/i7 compared to the FX-6300. In fact it bottlenecks well over 90% of the games on the market by varying amounts.
http://www.tomshardware.com/reviews/fx-8350-vishera-review,3328-14.html
Other (I can confirm they are still bottlenecked at 1920x1080. There's plenty of benchmarks):
http://www.anandtech.com/show/6396/the-vishera-review-amd-fx8350-fx8320-fx6300-and-fx4300-tested/5
It will however vary quite a bit between games. In BF4 which is better threaded the FX-8350 and i5-4670K have similar performance. The AMD CPU has more cores but they don't perform as well individually which again is why most games don't run as well with any of the AMD CPU's.
Note:
"Swapping it out with a 4790k would obviously net you a few more FPS but that would not be because you're removing a bottle neck... "
That makes no sense. The DEFINITION of a bottleneck is a part that slows down a system. If replacing a CPU with a different CPU results in better performance then obviously the first CPU had been a bottleneck.
Summary:
People still continue to claim that modern AMD CPU's don't bottleneck games yet it's just not true with many, many benchmarks to show this.
Again, I'm not sure why people claim a particular CPU won't be a bottleneck but that a different CPU can result in better performance because that is what a bottleneck is. The ONLY way you can say there was no bottleneck would be to replace it with a better CPU (or overclock the same CPU) and get the exact same performance.