From reading this thread I can see where the not pressing the binding can give some good results. I guess my concern is that I would pull and warp the binding so there would be... blisters?...
As a related question, what width do you cut your bindings and when do you trim the back/batting?
Personally, I mostly make queen sized quilts and I like a 1/2" finished binding so I cut my strips at 3" wide. I'm lucky enough to have a friend's long arm to do the quilting and so have quite a bit of extra fabric around all four sides. Using the binding seam as a guide I then trim around the quilt with my ruler at a scant 1/2". The ladies in my small group pretty much all want 1/4" and cut between 2-2.25", and usually trim their back/binding even with the seam allowance from the top before attaching their binding.