The discussion is really about the difference between cold drawn materials and hot rolled, or formed, materials, not just Bright MS versus Black MS.
Out of idle curiosity I've just taken a 6" length of ½" square bright drawn mild steel and milled 1.4mm off one side. As far as I could tell the material was straight (rule and backlight) before I started. Afterwards it was clearly bowed away from the machined edge. The material was bowed about 5 thou at each end.
Andrew