Make sure the case hardening hasn't been polished thru in the areas of the sear engagement and the like.
The Case Color hardness layer is very thin,,a couple of .000"
Once the hardness layer,,the 'case' is gone, it's nothing but soft steel and engagement surfaces will wear easily.
A sharp fine cut file should skip right off of the surfaces like a piece of glass if the case hardening itself is still there.
The file will grab and bite into the softer steel inner core if it has been exposed.
As far as protecting the polished surfaces, treat them like any other carbon steel surface you wish not to have it rust.
Bluing, case hardening colors even parkerizing don't prevent carbon steel from rusting. They have limited abilitys to hold lube some protection on the surfaces due to how they are applied. Some better than others.
The surface polish under those finishes can help if they are less than a mirror shine. They will hold oil on the surface better than the mirror smooth surface.
Very high polish presents a surface that can rust easily mostly because many will wipe the surfaces clean of any coating to expose the best and brightest brilliance of the polish. They are shiny and you want them to shine!
There goes any protection.
Wax often is the best choice for high polish carbon steel that has no real job other than to look nice.
Even when wiped down, you are still left with a coating of wax if it's decent stuff.