The damage is mainly op the "top" of the edge, the sharp part. I think the height would decrease something like 2 mm on each side maximum, if the edge is only repaired/cleaned (keeping the 47 degrees).
I can imagine more would come off if I were to have the edges reworked into 30 degrees (won't try that myself).
And I'm starting to think I misunderstand what lacquer finish means :P. This snare here has the Mahogany finish, yes? Is the outer ply Mahogany with some clear coating, or did they put veneer over the outer ply? I don't want to (try to) take of the outer ply thinking it's veneer :P...