It might, I don't have any i3 system to be honest, and never had, I don't know how much slower than a quad-core they are, but I do have a 2.5/3.1 GHz i5 dual core with HT laptop, and that is not particularly faster than a Core2 CPU in my perception, in fact, I find it pretty slow sometimes, but on other occasions it's pretty fast. The Intel performance is "tweaked" performance, the benchmarks show huge results, but in general, I find the performance to be very application-dependent.
That said, on Fedora 20 release, which is what I use on my production machines (with fedora-updates repos enabled, so on kernel 3.12), performance on Intel and AMD graphics equipped machines, performance has taken a considerable boost, it's noticeably snappier and has a hugely improved fps in games (I would say at least 30-40%!) with the open source drivers. I also have an Intel laptop with Fedora rawhide, which runs on Mesa 10 and is compiled with a later version of C compiler which supports more graphics functions, and even on the pretty modest Intel iGPU that system uses, the results are simply spectacular, they are at the point now of a decent nVidia laptop graphics Intel CPU laptop, for which sadly, because of the anti-linux attitude of nVidia, there has been no graphics performance benefit whatsoever since Fedora 16-17, a couple of years ago, and that's just sad, because the nVidia graphics is an expensive option for laptops, it's about 100 EUR more than an AMD 8000-series graphics equipped Intel CPU laptop, and about 200 EUR more than an Intel iGPU laptop.
I need a new laptop right now, and I'm waiting for a Broadwell laptop with Intel graphics and no dedicated graphics card, I'm hoping for a Chromebook with good specs because they are all CoreBoot compatible, which makes them irresistible to me to be honest. If I were to make a suggestion to you, as you're gaming with emulators in linux, so linux would be your main OS, I would definitely also suggest waiting a couple of months for a nice Broadwell i3 with HT and a stronger iGPU. The reason is that Intel has come a very long way with Beignet, and that should make it extremely competitive with AMD APUs in linux. I don't know when Ubuntu is catching up with Mesa 10 and the HSA-optimized design of Fedora 21 (rawhide), but everything goes pretty fast in the linux world, in six months, computer performance, especially at the low end of the spectrum, may well be a completely different notion that what it is now.