?woodpecker damage to Lilac tree

?woodpecker damage to Lilac tree

Observation - ?woodpecker damage to Lilac tree - UK and Ireland. Description: Several times in the past few days, I have observed a male greater spotted woodpecker taking fragments of peanut from the feeder on the (healthy)lilac tree to the spot where the central hollow is. But I am sure the additional damage has not been made by

Several times in the past few days, I have observed a male greater spotted woodpecker taking fragments of peanut from the feeder on the (healthy)lilac tree to the spot where the central hollow is. But I am sure the additional damage has not been made by the woodpecker.
We do have very destructive squirrels around, and I have also seen a Jay pulling the bark from a nearby eucalyptus tree, presumably to feed on the insects below. Any ideas on what has shredded the bark?