I've been thinking lately, one of the things Sony could to to show the strengths of their console and also show that it's not the "weaker" console, is simply show to the public what Cerny called "The Dream of the SSD". I mean, if they managed to achieve the dream the console will boot instantly and the load times will be non existent. Just imagine, when the console reveal happens they show the console booting up in like 4-5 seconds, and we will see what the UI looks like for the first time maybe with some games already in it (could be some PS4 games), then a game is started and loads instantly, then they go back to the UI and start another game that also loads instantly.
This way they could show something that differentiates them from the competition, while also making people talk about how the console is lightning fast. As crazy as it may sound I know people that associate fast with powerful, so that's what Sony could do to turn that misconception around.