I agree with Jim
While I thing schutzen's chamber sealing method is interesting and might have some application, I tend to be wary that the Kroil would dissolve some greases, even heavy greases (like dissolves like). If there was any mishap with this method, you would have a mess in your action for sure - not to mention the risk to your wood.
The de-leading bore cleaner products, when instructions are followed, do really nice things.
I clean from the muzzle, with a soft, absorbing material over the end of my finger to stop up the chamber end while running bore brushes, etc. Also, many folks will tell you to prop the gun with barrel pointed slightly downward when using your cleaning rods and solvents. This is a sure-fire way to reduce risk of getting solvents into the action. Hope this helps.