I had BSE on my AW0, yes the screen protect overlaps the watch case like ajm222 said, and is good although a little rubbery to the touch and the corners had a tendency to lift (and did 2 screen installs several months apart and the result was always the same after some weeks» lifted corners) AW0 (june 2015-jan 2016)
Now on AW2 and i have the Zagg Invisible Shield from ebay.co.uk, the screen protector doesn't overlaps the case, but end like 1mm "before" the case. Wet install like BSE, not rubbery at all. corners adhere very well. Really like it very much