The PS2 version of Psyvariar 2 also has a roll button. (None of the others do, though -- I've tried all of them.)
I still like the first one better in any case. P2 plays pretty differently in ways I'm too tired to recall, but I do remember that it felt a little over-complicated. I think good shooters strike a perfect balance between simplicity and depth. It should be all about "easy to learn, difficult to master". P2, I felt, definitely tipped over and became less fun as a result.