Just another negative ad campaign, I am sure, by Microsoft, to promote IE browser. The hilarious thing about this is the simple fact that Chrome is so much faster. So if it were to be using more battery life, per search you would find you can search and get results about 3 to 5 times faster than if you were to use IE therefore you get more productivity by using Chrome. If you are running on battery power then so-be-it, you will run out of power at some point regardless of what you are doing on your computer but from a productivity point of view, if you strictly limited your work to Browser use than you are going to get 5 times more work done in the life of your battery using Chrome!
Chrome browser has been DRAINING PC batteries for YEARS