I really don't think that stainless blades take much more work than their carbon cousins. I've had several Friodur's, & they all honed up like a dream. Sometimes they seem to like a few more laps over the finisher, but it's certainly nothing to be intimidated by.
Stainless razors are just that. They stain less, but can still suffer in an adverse environment. I've never had a problem with mine & there's not a mark on my most used Friodur, despite being forgotten in a humid bathroom overnight! I never oil any, carbon or stainless, but I'm in England. I guess it depends on your location, as Hawkeye5 suggests.