#1). How soon will you be home? The salts in corrosive primers start sucking humidity out of the air immediately and starting rust and
If you will be home quickly, you can suppress with a long squirt of WD 40 or other rust preventer that will interfere with the water in the air being used. Obviously, in the desert, low humidity, this is less of a problem. Seashore, the quicker the better.
Let's see, the 30 carbine was never corrosive. Neither was the US .308 ammo. More recent. .223. 9mm. But anything else? Why risk it?
If not--the getting home, then you want to address removing these salts as quickly as possible. The Windex which has lots of water and some ammonia is convenient. The black powder bore cleaners/tools are also good. Black powder leaves similar salts. Kettle of boiling water down the barrel is great. Washes out the salts and heats the metal to dry from that heat.
As suggested, best, when you get home, hot water, soap if you wish, and pumping in and out of the bore to scrub the salts off the steel. THEN you worry about copper fouling and powder residue. Then oil lightly or whatever preservative you prefer. luck.