In terms of bulk, weight is relatively the same and one is longer and thinner, while other is shorter and thicker. 1000 mAh is 1/3 of your Note 2 battery capacity. But NT600C has a convenience of AC adapter built-in so you can plug right into outlet, while with NT70T you can use your existing wall AC adapter for a more remote charging with an extension cable. I also heard NewTrent is working on NT700C model, but not sure when it's going to be available. If you are in need of external battery now, to me NT70T looks like a better choice.
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