No. The idea itself is pure BS. Nintendo needs to gain a large installbase ASAP to maintain maximum profitability now that they will only rely on one device. The more the bad supply lasts, the more potential customers they might loose. Simple as that.
Nintendo doesn't want to create the image of a highly-desirable product by enacting shortages, they want to be the go-to gaming device that anyone can pick up as soon as they want and start buying games for it.
Vote the Mayor for Mayor!