We have had them before and parrots never gone near them, make sure it's not been sprayed with anti needle drop or anything else. Also tree lights be aware of the danger if they should chew through the wires. Plus some decorations may not be good for them to chew.
Husband was asking about that yesterday, it is upto him, but am sure the birds would love one. If it is in our hallway though they would not have access and would not be in my way, huge hallway, tiny kitchen, either high or drunk who designed this house.