They are easier to work with and, in some cases, have better tone.
To be truthful, unless you're willing to pay WAY too much money, you're better off with an OFR, as the cheaper Edge models are not made with the best components (hardware, alloys, and knife edges).
One of the bigger reasons, for me, was that they felt more comfortable to the touch. I always had the idea in my head that I was about to snag myself on the Floyds, but the Edges were more rounded and safe feeling (despite their name).