People cold blue before they chlorox to get the chlorox to be more aggressive. There isn't any reason to cold blue before browning as the browning agent will work just fine if the steel is perfectly clean. Cold bluing before browning might also result in streaks or unevenness in the brown finish. For almost any finishing technique what is important is that the first coat of agent go on perfectly even without streaks and the key to achieving that is a perfectly clean, degreased surface.
Tom