I've seen last winter's woodpecker damage on both wood and poly hives within 15 miles of me.
But being in town, Greens are pretty rare except during the hardest part of the winter. I personally won't be bothering about peckerproofing for at least a couple of months yet ...
Grrrr......We had them drill 2 holes in just one of our cedar hives last year. I thought that they were usually only a problem later in the winter once the ground is hard?
Green woodpecker much prefer and actively seek out ants for their food and generally only attack beehives to eat bees when the ground is frozen preventing them attacking ant nests. So woodpecker attack in current weather conditions seems unusual so maybe something else is having a go.
In my "garden" I have resident Lesser, Middle and Greater spotted Woodpeckers plus Green and Black Woodpeckers and never have any of them shown an interest in my hives what ever the weather.
No issues here at all, ever, despite them and partriges being fed for the local shoots so we have many tens of them near the hives. They may pick off dead bees, but never gone for the hives direct.