I'm curious... The picture appears to be a gold-plated Tech. Are you primarily seeing the rust with gold razors?
If so, I'm wondering if there is some Galvanic Corrosion going on.
Either way, I agree with the advice that dry==better.
You said what I thought but couldn't come up with the words.
I kept thinking "bimetallic reaction".... Is that even a phrase? lol?