Steven, The fly is a bit unconventional. These are normally seen on locks in Alex Henry percussion match rifles. As you say, I think the 'width' is intended to ease the transition over half cock. The filed away center resulting in a sort of pendulum may be intended to speed up the movement.
Lynn, No the lock just sits in the mortise and is retained by the screw.
Jim
It's definitely "outside the box" thinking. Very elegant. It makes for a big tumbler and bridle, necessarily, but it's obvious once you see it. I've also had sears chipped by hitting the small fly on traditional 18th century locks. This would allow the sear to just glide over, like over a gentle speed bump.
Steve - I'm sure at least one of those flies was mine - LOL. I got to where I was ordering them from Jim Chambers 3 at a time in little ziplock bags. You think "this time I won't lose the fly...I won't lose the fly..."
Not having a front lock screw is really nice - no interference with the mainspring which can now be a little longer for smoother action. And not necessary, either. That rifle is beautiful as it is, but a variation to play with that could also be really nice is one with a ramrod/cleaning rod. With no front lock "nail" it could still be quite slim and elegant.