My rifles are stored open in a gun safe. My handguns are stored in pistol rugs, some felt and some foam and I have never had a spec of rust, discoloration or a freckle, and there is nobody fussier than me.
Back in 68, I had a lawyer friend that i shot with ask me about how I took care of my guns. I told him oily rag. He have me an 8" square piece of real lambs wool and a can of Kel All pure industrial grade silicone. He showed me, treat the wool with silicone, rub it into the fibers, and wipe your gun down. Retreat the wool from time to time.
Since then I have never used another product and never seen a spec of rust. Now, I must say, I do wipe them down every 3 months or so.
My silicone is available at many hardware stores, and a can lasts 10 years. Probably a 10-12 oz can. This is pure, no petroleum additives.
Why lambs wool, because the fibers get into everywhere including screw slots. Remember real lambs wool. Buy a skin with a few friends, and cut it up into squares.
My product is from Kelloggs Professional Products in Sandusky , Ohio.
You will not be sorry. Oh, and a treated piece of wool lasts 10+ years.
No Rem Oil for me