All I can suggest is - try it. Without the crease pressed in, when sewing the fold down, I never have the binding trying to creep out from under the needle, I never have it trying to roll and getting a tuck in it. It always folds over and lays even and nice. I use to pin and try all sorts of things to keep the binding laying flat and even, and now that I don't press, I never pin anything and don't have the problems.
Binding has become a very easy task for me, I use to hate and dread doing it, and now it's a piece of cake. The only thing I changed was I don't press the binding in half, I just fold it and line up the edges and sew it down.
Last year I did a project that needed 120 "potholder" blocks finished at 6". I used bias binding and cut and sewed it into a circle before attaching it - that was a lot of practice sewing bindings and corners. I think I've already completed about 15 quilts this year, so I sew a lot of bindings.
I did a Craftsy class for making a bag last weekend, and right at the start the instructor said that at her first class, one of the students suggested she not press her binding, so she tried it and now she tells her students NOT to press the binding before sewing it on- as it goes on much nicer.