Uh they added RAM in order to add core functionality. Samsung added RAM to accommodate for BS nobody needs like Knox and MyMagazine. iPhone 4 running Siri was terrible (jailbreak, but real Siri). Did it work? Sure it did. But did it work reliably? I've had an iPhone 4 and I had that hack installed and Siri had a hard time understanding speech. The 4S indeed had better audio handling whether it be an audio chip or better microphones.
http://www.theregister.co.uk/2012/02/06/why_iphone_4_wont_get_siri/
iPhone has a third of the RAM, half the cores, about half the clocks, and less than half the battery capacity of my Note 3, yet it is: faster, smoother, and lasts about as long if not longer according to Anandtech. Apple knows optimization more than anybody else, especially a company like Samsung who are famous for packing on a ridiculous amount of bloat ware (400MB of it on the Note 3 to be more specific).
Sure adding fancier hardware might do the trick but it's making the most out of available resources that is the way forward, not cramming in an Octacore and a laptop battery because of the 400MB of unneeded apps that are piled on top of that already tragic JIT Dalvik.
Very good analysis, and more appreciable since you are a Note 3 owner ...
By the way I can add I'm a little bit disappointed by the choice to stay on the 1 Gb decision for their latest hardware (I'm speaking about iPhone 5S/rMini/Air generation).
It was the right time to jump ship for the 2 Gb.
I usually criticize everyone speaking about planned obsolescence in this forum, but this time I think is sort of.
iPad Air and Mini Retina with 2 Gb are just "too good" ...
My two cents (and I'm perfectly happy with my 5S and my Air).