What i said was that QuickSync doesnt have the same quality with software. All the rest is your words not mine. I never said Quicksync is not faster but if you want the same quality the software provides you have to raise the bit-rate and that will increase the file size and affect the speed.
I already mentioned the bit rate. What I'm doing know is letting you know the effect of the file size isn't double and the speed doesn't drop to the extent you're suggesting. You're still 200-300% faster and that's comparing HD4000 to a i7 3770k, meaning compared to an FX8, it's even greater than that. Try as you might to dance around the subject, it won't change the reality that someone with an i3 is going to finish their encode a LOT faster than someone with an FX8 and still be able to use their PC without appreciably slowing down the encode process.
Hang on to that WinRAR achievement as tight as you can.