I had Tim rewind one coil of my Patent # PAF (yes a real one!). I gave it to him to match it with another pickup, but he found that it had already been rewound in the past (this was why it was hotter than most Gibson pickups). He brought the really overwound coil back to standard and it now sounds really sweet. I also had him put in an Alnico IV magnet.
The VHII and Miracle Man have offset coils and so do some other BK's, but the amount varies. I think you get a more open sound but at the expense of some hum cancelling.