Personally, I would not (I do not) strip the carbon from inside the neck ... I insert a nylon bore brush, a couple of turns to clean off the “excess” and consider it good to go. (This practice seems adequate to produce decent results).
I do remove carbon from the outside of the neck using RCBS case lube which is not toxic. I suppose if I wanted to strip the inside of the neck, it would work there as well.
