Cockies are always a worry if you have wooden decks or verandas - they like to chew them. We had friends who had to replace the wooden railing around their decks. As a result they gave up on feeding ANY birds in the neighbourhood.
Our cocky visitors like to sit in the white cedar down near the creek and "prune" it. After a visit we have a litter of small branches and twigs that been cut off and fallen. They don't seem to eat them - just like to cut them off....