Unfortunately, because QE involves the exchange of one risk-free asset (bank reserves) for another (Treasury securities), QE does nothing to increase the amount of risk-free assets available to the market.
The prices assigned to Treasury securities the risk-free rate are the foundation from which the price of virtually every asset in the world is calculated.
Only a few short years ago, many financial planners insisted that stocks become virtually risk-free if you just hold on to them long enough, guaranteeing you a higher return than any other asset.