Intuitive F2L really isn't that intuitive. You use the same system every time, it's not really intuitive at all. What it means, probably, is that you can see the piece insertions and setups in your mind, rather than just blindly applying algorithms. Petrus F2L is much more intuitive (the 2x2x3 step) as there's really no method to it, and you can start expanding from any piece to make the block. After edge flipping in Petrus, the rest of F2L isn't very intuitive.