After about ten days, the misting has cleared completely. For the first few days, the inner surface of the outer pane was absolutely streaming, because water got in when the drill first broke through, from the water spray I was using to cool the drill bit. Otherwise the misting might have cleared a lot sooner. Fortunately, we've had nothing but warm dry sunny weather. Time will tell how it behaves through the cold wet winter months.
If I get more misty DG windows in the future, I will probably drill two holes, one each top and bottom, to encourage air circulation through the gap between the panes and speed up the de-misting, and then seal the top hole with a spot of glue when the misting has cleared to help preserve the insulating properties of the air gap, but leave the lower hole open to let the air gap breathe.