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Uh... don't know what you're saying here. The Note 3 uses a micro USB3.0 cable from what I can tell. The same ones I use for my external HDD and card reader. It's not a proprietary cable.my 3.0 required a proprietary cable and got damaged when the phone fell with the cord attached and no longer works.
If plugging through mains (ie. wall outlet), you definitely won't notice any difference unless you use an adapter with different amps. In this case, the adapter would be the deciding factor on whether your phone will charge fast or slow.Mine charged the same with 3.0 as it does with 2.0. Either that or my BlackBerry charger puts out more power than the one packaged with the phone.
I've been using a galaxy s4 stock charger the past week because I left my Note 3 charger at a friend's house and it's much slower than the note 3 charger.