Have we all become germaphobes?

Somebody please explain this to me: I just saw a commercial for an automatic hand soap dispenser.  They’re selling it based on the idea that there’s all kinds of germs and bacteria on the top of the pump that’s part of your standard manually-operated hand-soap dispenser.  These germs and bacteria then get transferred to your hand when you press down on the pump to get your soap.

But don’t you then wash both your hands with the ANTI-BACTERIAL soap once you’ve got it?