Multiple comments:
The copper will be etched much more than the steel. It will turn dark. In my electronics days we made circuit boards by drawing the circuit on a sheet of copper covered phenolic with a sharpie and then eating away all the exposed copper with FC. Until recently, most folks go their FC for knifemaking from electronics suppliers.
The simple way to find out what the copper will do in FC is to test a scrap of copper in some FC. Use a small cup and not your whole FC tank. Draw several lines on the test sample with a wide tip sharpie and etch the piece. See how much eats away and what color it turns.
When a tank of FC gets a bunch of copper dissolved in it auto-plates it onto steel objects that are etched in the tank for a long time. This coppery color coating is very thin and will come off in clean up or with a quick rub with steel wool.
Copper won't stay shiny if exposed to air or use. It darkens into copper oxides which is the color of an old penny. I prefer using bronze when I use it as part of a guard, as it has a prettier brownish color when aged than copper. Both bronze and copper can be returned to shiny with a quick rub of a jewelry polishing cloth or a high grit 3-M cloth (pink. mint, or white).