GreasyFingers, since you asked, absolutely not.
The coin should never have been made, for reasons articulated earlier, and this "discovered" privy indicates that this is truly a gimmick. In contrast to the 250,000 privy quarters which are circulating coins, these dollars are NIFC and are sold at a hefty premium (2.5 face value) with no known quantity of the privy coins known at this time.
This is an artificial rarity and a gimmick to sell the coin.