He should, as long as you keep handling him, cuddling him and socializing him this way on a daily basis during your month alone together, and afterwards as well. That month should solidify your bond to where he won't forget it, even after he's been introduced to the others. That is what happened to my Lovies, even when they were in the presence of each other. They never forgot our bond and always flew to me, when out of cage. Now, I don't know if the budgie species is vastly different in temperament and nature than Lovebirds, but this has been my experience with all three Lovies that I have had.