The possibility of a "full" screened-front sounds great (sexy, minimalistic, very Apple-like).
However, I don't like the possible wrap-around-the-sides screen that some of these reports claim the iPhone edition could have. It would look too much like the Galaxy Edge and, to date, it's been more of a aesthetic feature than a utility. Of course, Apple could do much more with software those curves useful, but I'm still not convinced it would look good or being a game-changing feature.
It's not something I feel Jony Ive would like, given his taste for symmetry. He likes his porducts to be straight and aligned.
What I envision is much more simple: the same rounded edges of the iPhone 6-7 series, without the home button or side bezels, shorter (half?) top and bottom bezels, all-black front and back (glass) and a jet black curved metal frame, so it would look like this solid slab of glass he's allegedly wanting to achieve.
I'll be totally wrong on september, for sure, though 😉