It could (possibly) slow down the rate of greenhouse gases reaching the layer. However, that is only the rate at which they reach that layer - not wheather of not they reach it.
Cold Air is denser than hot air, so it would be like turning the air into water, sort of. It's easy to move your hand through air, but a little harder to do so through water - because of density creating higher friction.
However, as the layer cools and gets denser, more friction would be produced through the layer by the gases and so areas of higher emmissions would cause localized hot spots and "burn" through that layer, possibly creating a secondary hole in a different place in the O-Zone layer.