In my 41+ years of shooting experience, I always clean the chamber and bore with a quality bore cleaner, jag patch dry, then run a patch saturated with oil/preservative (in my case, currently Weapon Shield) through several times, then jag patch dry with a clean patch. A very thin film of Weapon Shield is left, which serves as an anti-corrosive. This has worked well for me in various climates and continents.
Best, Jon