MS,
The thickness of the chrome will be very thin. How thin would be a guess. I'd guess less than a few tenth's of a thousandths. The problem with honing is that as the hone cuts thru the plating, it will almost undoubtedly cut thru one are first. This will then allow faster cutting in the steel and cause a shift in the cutting concentricity. How much? I dunno. Maybe not significant, maybe really significant.