Probably? Okay you thaught i dont know what botlleneck is. Very nice you wanted to corect but in gaming means that your CPU reaches 100% utilization before the GPU reaches it and increasing the GPU power wont change the result.
This is a benchmark im puting here.
http://www.tomshardware.com/reviews/build-your-own-budget-amd-pc,3807-2.html
As you can see puting more than a 260x on a athlon or i3 wont change the game. Puting more wont do a diference. Now considering that in a review the OC athlon x4 760k and OC pentium g3228 perform similar (give it or take it there is no reason to try more powerfull GPU than r9 260x if you cant afford)
Of course that is one benchmark and they wont run all the same. Usually there are 3 scenarios:
-1 )you just need a cpu. The game is so based on GPU that you CPU must be arhaic to influece performance .
As example Batllefield 4.
http://www.techspot.com/review/734-battlefield-4-benchmarks/page6.html
It takes a old something older like a x4 645 (its a litlle bigger diference beteewn this and x4 750) to start shaking the performance of a enthusiast card like 290x
-2 )the game is 2 core based but highly relies of single threaded "power" (which intel has plenty of it )
As example Batman :Arkham Origins , skyrim and Thief( where youll see the most of intel eficiency per core over AMD)
http://www.techspot.com/review/733-batman-arkham-origins-benchmarks/page5.html
Here you can see how a system performs better on a i3 than on a amd fx 8 core (fx 8150) and here were talking about titan GPU.
-3) the game relies on highly multithreaded procesors where amd mainstream and low cost perform very well ( given the price)
As example Watch dogs
http://www.techspot.com/review/827-watch-dogs-benchmarks/page5.html
Here we can see no real diference beteewn fx 6 and 8 core amd however when we put the fx 4 core there is a significant performance lose .Same story for amd 4 core and intel 2 core.These game also seems to buthurt older 45nm phenoms lime 1100T which should have performed better. Anything pas fx6300 simply isnt needed.
Now to summarize
Yes intel g3228 is good nothong to say. Clocked at same frequency as a 4790k it will have the same single threaded performance as a 4790k the diference is that you you be punished in multi threaded games that will be more next years with multicore suport.
The fx6300 is a beast. In what sense. You dont need to OC it unless you really want. It may lack single threaded but the single game i saw really bad performances was Thief( still dont get it why is amd promovating that game when its clearly they arent performing soo good). It has enough power not to botlleneck any other GPU. Its a multirole procesor.Its dirty cheap considering the facts.
As a mention a OC G3228 at 4.8 consumes way more ( to be preciselly it consumes like a 4770k) then you put a question. Why struglle so mucb with a g3228 with OC , new cooler , higher TDP for no reason
when you can simply take fx 6300 put it in the MB put the stock cooler and just go.