This is not a completely tautological statement it's a reasonable statement.

The only other significant channel to transmit QE to the real economy is the wealth effect of an equity market increase, but there is some circularity in the argument that QE3 will lead to a persistent rise in equity prices. If persistent asset reflation requires a significant GDP growth recovery, it is tautological to say that if equity prices rise enough following QE, the resulting increase in GDP from a wealth effect justifies the rise in asset prices.