What you refer to as "ghosting" may be due to the difference between the faded paint and the paint that's been shaded from the badging. Unless you actually see residue under the badging, I would think twice about using some sort of cleaner. My badge "ghosting" is all but gone. What I did was wax that area weekly, and I also parked my car outside in the sun on purpose. You'll notice that it starts fading and should be gone in a few weeks.
Enjoy the beautiful, clean look!
Enjoy the beautiful, clean look!