It’s America, so the answer is probably “No”.
Do you not have consumer protection laws?
We’ve had digital price tags for decades. But you couldn’t do this in NZ. Stores are obligated to sell you a product at the price they advertise it for AND have a reasonable quantity of units at that price… you couldn’t sell 1 TV for $1.
So these systems would need to track what price you saw it at.
(Caveat: Our stores are still cunts and have been found to overcharge people)
Doesn’t stop them opening up as “Hungry Janet” or something.
Burger King opened as Hungry Jacks in (Queensland?) Australia as “Burger King” already existed. But is also now trading under the “Burger King” brand in some places.