When you think of what this card is for -- safely drawing a new hand of cards -- it really means it saves you from agenda flood without having a risky archives. It allows you to survive in a heavy Laramy Fisk: Savvy Investor/Fisk Investment Seminar meta where you find yourself with 10 card hands just a little too often. It lefts you save cards you want for later while getting new cards now -- perhaps giving you time to set up the combo you put the other cards in your deck for. Or is lets you recover gracefully after a Lily Lockwell or Panic Button is used to flood HQ to hide agendas among the chaff still in R&D.
But it doesn't give you time to USE the your cards. And if you want to make use of any of your 5 new cards you can't really make use of any of the one you had before. That's the real cost of the Double in this case. Double means you are now stuck making a choice: Do I need to use ANY 1 of the cards I have now or do I want to make sure I can use ANY 1 of the 5 cards I will draw?
Note, if you are just using this to draw cards in your deck you may want to swap out for Anonymous Tip so you have more clicks to use the cards. This is not just Quality Time for corp, and you really wouldn't want it if that's all it did.