I'm not someone who owns the phone yet so my opinion should be taken with a grain of salt, but I felt the same way after holding it my first time in the store. The normal version just felt more comfortable to me,but I love the look of the Edge more. I couldn't decide and ended up going back the next day and that's when I knew the Edge was for me. It felt more natural to me the 2nd time. I think it's because I knew what I was suspecting and I liked the feel.
Obviously my sample size is small, but it seems like one of the things that will grow on you. I'd recommend going back and trying again because you may have that feeling I had or maybe you'll end up feeling the opposite way.
Also, I know even though I don't want to, I will most likely have the phone in a case most of the time. I'm imagining most cases will give the edge bezel a little thicker and more natural feeling.
Just my opinion!