I was a little stumped by the terminology Cut Inside/Outside. Of course, it depends on the direction of the geometry, but I assume they are always forced one way or the other (CW/CCW) per op? My thoughts would be to combine the three op types into one with a direction specifier, then either centerline, offset left or offset right (or just -1, 0, 1 etc. as an offset - although stating it left or right would be more user-friendly).
My first thought when seeing “inside/outside” was that it found internal and external features only, but I don’t believe this the case.