I have re blued a mate's rifle with Birchwood Casey, and spent a long time getting the metal work to a good finish and then degreasing before applying several coats of cold blue.
The results were satisfactory, i.e. you needed to look with a close eye to see the rifle had not been hot blued.
The rifle was a break barrel, however, and after a few lengthy shooting sessions, with a close eye you could see the cold blue had indeed weared a tiny bit on the barrel where it had been gripped by hands.
I think this is part of the nature of cold blue and don't believe it can ever bd as wear resistant as hot blue.