Yes, i agree, one pass with a dry patch, should greatly help reduce the chance of rust when using Blackhorn. After one pass with a dry patch, my rifle barrels look shiny clean, even though i know they aren't. Using a patch with solvent proves the barrel wasn't clean.
The use of one dry patch removes the bulk of the loose burnt stuff, and theoretically should put off rust for quite awhile. It may also help with the first shot flier.