I'm not sure if processing power is going to be any different here. To get acceptable results from the proposed method you need twice the resolution (two displays) and twice the frame rate. Which translates, surprise, to four times as much processing power needed, just as a quadrupling of the resolution would.
I think they actually propose something like rendering two 1080p streams at 60hz to get the effect of both higher resolution than 1080p and higher framerate than 60hz. That's their intent, apparently, who knows if the staggered frames actually create problems for viewers if the frame rate isn't just doubled.
Oh yeah, sorry about that, I forgot that it's hard to see the advantage in video playback.
However, in games, when rendering a Full HD frame twice (with different settings/specifications), you would see a huge advantage in terms of the memory & some benefits in the amount of processing power required.