The edge is indeed odd. Yes, some parts look almost more like the Mexico City edge, and the extreme wobble/files? Certainly odd and atypical. I have to take a closer look at a few later Charles IIII edges this afternoon if I get a chance and get a refresher on how close in style they are to the fatter/crude edge on the Charles III or early IIII Lima output.
Bob, ever see anything like this on a (purported) Lima piece?
I would also like to take a good look at the edges of some pieces with the odd rim/denticle area fissures in hand, also. I probably have some around somewhere, but usually just look at an obv/rev photo and note.
Just from obv and rev, everything to me looks OK for Lima. Even factoring in the dip, it also has that kind of milky white coloring that the Lima alloy usually displays.
Interesting study piece.