I'm not sure why people keep trying to connect the residency and the album.
The album was for her fans who have been waiting for a new album for years, she said herself BJ is for the hardcore fanbase.
The residency is to show the world her legacy and to let people know that she has a long line of fantastic pop hits and possibly a chance to gain new fans.
If she'd wanted to promote the album she would have gone on a proper tour and postponed the residency until 2014.
From what I've heard her team are planning on making the BJ era last a while, until summer of 2014 time, Alien is the next single which should be coming out around February and then they will probably release summery dance songs like Til It's Gone and Body Ache.