The main effect on the Antarctic weather from the ozone whole is thought to be that it enhances the meridional cirulation (the strong winds that blow around the continent just to the south of it). This tends to bottle up the cold air formed over the continent. The effect of this is that the continent cools, because its exports of cold air are reduced. Presumably as the ozne hole heals, this mode will weaken somewhat.

The winds which make up the Antarctic polar vortex are zonal winds, that is, they flow along the lines of latitude, west to east, AIUI. Meridional winds blow north-south. I don't quite understand the reason for those zonal winds, something to do with the Hadley and Ferrel "cells" and the resulting jet stream. Anyway, as the CFC's (and other ozone destroying chemicals) in the stratosphere continue to decline, it's to be hoped that the "hole" will no longer appear.

E. Swanson