I think the only reason I've heard for anyone to use alcohol is as a disinfectant on a "new-to-me" used razor. If you were to use alcohol, then make sure that you use oil afterwards.

I don't know about razor steel, but firearms must have a light coat (wipe on, wipe off) when storing, or rust will form very quickly. All of my razors have some oxidation on them already, and they haven't been getting any worse. All I do is wipe them dry and put them away. (Though I am planning on finding a space for them in the bedroom and not the bathroom.)
J.