Trying to think back to when I was on JCs, I would want to know:
Was this a one off, had they been counselled previuosly, who witnessed them being drunk, what lead to them being drunk, what have they done since to make sure it doesn't happen again?
If it seems a done deal, and they don't want to be DF'd then signs of repentance are vital. This would include steps taken to stop it happening again, being sorry for bringing reproach on god's name, blah blah.