Major advantage I believe in active pickups is that at high distortion levels chords come through damn nicely, once again though, you've got to have your mind on a particular genre. trying to play beach boys on an active pickup guitar might prove pointless, but playing metallica on active pickups is perfect.
Also the complaints about the battery are absolute bull crap, if players are willing to restring their guitar once a month (which takes time and patience) how hard is it to replace the 9v battery in the guitar every 6 months?