Washington state dedicated a section of their code to explicitly make this illegal (to install it, not just use it). RCW 46.37.685(1)(b) says
It is unlawful for a person to have an installed license plate
flipping device on a vehicle, use technology to flip a license plate
on a vehicle, or use technology to change the appearance of a license
plate on a vehicle.
and it is illegal to sell them. Georgia does not seem to have a specific law on the topic, but the same effect holds under GA Code ยง40-2-41, which says:
Unless otherwise permitted under this chapter, every vehicle required
to be registered under this chapter, which is in use upon the
highways, shall at all times display the license plate issued to the
owner for such vehicle, and the plate shall be fastened to the rear of
the vehicle in a position so as not to swing and shall be at all times
plainly visible... It shall be the duty of the
operator of any vehicle to keep the license plate legible at all
times. No license plate shall be covered with any material unless the
material is colorless and transparent. No apparatus that obstructs or
hinders the clear display and legibility of a license plate shall be
attached to the rear of any motor vehicle required to be registered in
the state.
We can start with the question of whether the vehicle must be registered: yes, it does. Then we can ask if "which is in use upon the highways" is true. This is not obvious, because that clause could be interpreted as meaning "which is at some time or other in use upon the highway", or else as "at those times when it is in use upon the highway". I strongly suspect that the courts would find in favor of the first interpretation, not the second, especially since the law also says that you must "keep the license plate legible at all times" (not "at all times when you are on the highway"). Finally, a plate flipper clearly "hinders the clear display and legibility of a license plate", and the law prohibits the attachment of such device, not just its use.
So obscuring your license plate is just not legal.