When I lived in MN and had a home with a (finished & heated) basement, I never had a rust problem with my reloading equipment. Now in TX, my loading bench is relegated to the garage . . . and I HAVE had problems with rust on dies and such.
A thorough cleaning with Naval jelly, rinse with
hot water, and a light coat of Corrosion-X, along with some of Midway USA's VPI chips in each die box, seem to have arrested the corrosion. (Which reminds me . . . it's about time to renew the protection.)
My safe indoors has never been a problem - I have a couple of cans of silica gel in there, and every couple of months I bake the absorbed moisture out of them.