Are cat towers safe for parrots?

[Lady]

I've searched and searched and haven't found any other information either way. I did see quite a bit of cat towers that were made mostly with sisal rope, some had hanging vines from them. They looked nice but again, they would of course have to be parrot safe plants. I could just see Lady chewing them up from the top down! I don't think it would be worth it even if it was made with safe materials unless the bird wasn't a chewer. It might make for a nice stand for little birds in their cages, perhaps finches or canary's.