This issue can be addressed after a quick check over at
http://www.matweb.com/ The following data is from this source.
In order to make an "apples-to-apples" comparison, I kept the respective material hardness ratings data to the Rockwell Hardness "B" (HRB) scale.
As a "frame of reference":
"High" carbon (0.90-1.03%) steel (series 1095, annealed, used in knife blades, etc.) has an
HRB of 99.
"Low" carbon (0.22-0.28%) steel (series 1025, annealed), typical of the "mild" steel that is used to manufacture steel cartridge cases, has a
HRB of 71.
HO6 70/30 "cartridge" brass (70% Copper, 30% Zinc) has an
HRB of 83 making it
significantly harder than the low carbon (mild) steel most likely used to fabricate ammunition cases.
"Cold worked/drawn" gilding metal alloy (95Cu/05Zn) has a
HRB of 70 making it every bit as hard as the low carbon steel and this alloy is what is in contact with the inside of your barrel (bore) as you send FMJs and JHPs down range through your gun's barrel.
As for running steel cartridge cases (and/or bullets with jackets made of "mild" low carbon steel) through your guns, as long as you've got a quality gun, I doubt seriously that you'll "hurt" your gun.
Put me down for "Myth".