You can't 'lose' a case conference. Case Conferences are intended to be a discussion about the case, not a motion or a trial where there are winners and losers.
There are two exceptions to this:
1) If you fail to be properly prepared for a discussion on the merits of the case (ie. not filing a brief, not showing up, not providing proper disclosure as required by the Family Law Rules), you can be ordered to pay costs.
2) If there is notice of a motion that will be heard concurrently with the conference, and if the judge allows, they can order costs.
