Shane, I used to that way, clean to spotless. But I would run a patch with oil down it. Maybe a dry one next. If it's a chrome moly barrel, fer sure. Stainless not too important , for rust prevent.
Now I have learned more about barrels and accuracy. Barrels, being micro porous, and bullets running down them under extreme pressure, will fill those pores and after shots,I don't know how many, and it will vary, those pores will fill and make the next bullets less deformed and fly truer. I have not noticed ANY degradation of accuracy and actually think it improves in this new method! I am still a fanatic on top accuracy.
Accuracy falls off after many, many rounds mostly because of throat errosion, not the bore. Learning is a good thing. Helps me to stay younger, too.