Could you be hearing transformer noise instead from whatever you have plugged into the cigarette lighter, or does it really vary with engine speed?
If you have something plugged into the cigarette lighter, it could be modulating the DC quite a bit if it had a poor quality DC-to-DC voltage converter.
If you have something plugged into the cigarette lighter, it could be modulating the DC quite a bit if it had a poor quality DC-to-DC voltage converter.