Any unprotected carbon steel can and will eventually rust, different alloys and finishes can show different resistances to rusting.

-If you get any water under the scales, it will probably spot and rust the blade within hours unless removed immediately (alcohol dip, blow drier, canned air).
-Fingerprints and skin oils left on a blade will rust a carbon blade, some people have fingerprints that are more corrosive than others.
-Oil and other coatings probably will not protect a carbon blade that is not first made clean and dry before its application.

I never let water get in the razor pivot area and rinse my blade angled down under running hot water from the tip up to the beginning of the shank. I then wipe it dry with tissue and closely inspect for any residual drops of water, especially in between the scales. I the let the razor cool on a shelf while I clean up the bathroom. When done with the bathroom cleaning, I strop 30 on linen and 60 on unpasted latigo. If I am going to use the razor again within a day or two, I may let it sit in its coffin with the top off or in a pen display box without oiling (outside the bathroom). If there is any question about rusting, I wipe the blades and scales with a Camellia oiled patch. A good firearms protectant or silicon impregnated cloths are good for longer term storage. Razors should be checked and rewiped with oil from time to time, no coating is good forever.

I am never free of anxiety with my pristine carbon blades, especially those having etchings and gold wash. I have a lot less worry with my Friodurs, or my less than pristine vintage carbon blades.