That does'nt make sense to me but if it works.. go for it..
But I would of.. IF YOUR DEPOSITING... I don't see what the problem is.. and why you would have to use BW2 From clariol for lifting.. ... You should be able to use a ash brown right over it and be done with it.... (ASH BEING IT HAS A GREEN BASE.. Would cast out the red tones.. according to your color wheel)