I'm assuming you are talking of triggering the camera not the flash with a wireless remote. Any remote trigger should fire the camera, If you are using flash, the camera will in turn trigger the flash. When using a remote release, the camera should behave exactly the same as if you pushed the shutter release button.
Anytime you use a remote release you should make sure the viewfinder eyepiece is covered. This prevents stray light from affecting exposure and possibly showing up in your image. On the D4 you can use the eyepiece shutter to do this. I suspect the D600 will have a cover to slide over the eyepiece, but a hat or piece of dark cloth will work just as well,
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