On the other hand, while I do indeed believe that the "ROI" from Performance Advertising is something between just false and deliberately misleading, the bigger picture that I'm interested in is marketshare. Because when looking at market share, it's not a question of incrementality anymore, but whether you're growing slower/faster than your competitors, and your cost of doing that, and at what point you're OK to 'buy' marketshare, in the sense of losing money in the pursuit of growth, and how much. And then, OK, let's talk about ROI on that basis - most of the time, achieving this will indeed require tools from the Performance Adversiting toolbox, which allow you to conveniently track the amount of marketshare (i.e. sales) you bought.