Board Thread:Questions and Answers/@comment-79.203.176.69-20130124021206/@comment-149.137.12.124-20130224020759

I think a lot of it does come down to the amount of Magoi you have. Some of the generals have little to none, which means they'd never be able to djinn equip, maybe not even a little bit. Also, it sounds like a number of them have gone conquering with Sinbad (at least that seems popular opinion). If they DID, and they were worthy, the djinn would probably pick them over being one of a set. However, they didn't, so it's safe to assume they weren't "worthy". Also, it could have something to do with the fact that dungeons are summoned by Magi and usually go to King Candidates. So, if you have no desire to be King (take Masrur or Ja'far as immediate examples I can think of), but just follow a King, its less likely a djinn would pick you?

This is all speculation don't take this as fact necessarily ^^