I have never known anyone that used one honestly but I would think anything that would fit a tiel or a gcc would be too large for a lovie. There is quite a size difference. Also, I am just not one to take my birds outside unless they are caged. We do a hawk that frequents the area as well as many crows. There have been more than one account of hawks taking companion birds off of the shoulders of their owners and remember just because you don't see them it doesn't mean they aren't near by.
While I was in VA the past several weeks we had a new visitor. My husband took the dogs out and an owl attacked one of my GERMAN SHEPHERDS!
Wayne said it was roosting in the oak in the front yard and he did not notice it until it swooped down and grabbed the dog. We have been here 6 years. I have never even HEARD an owl. It stayed for several days in that tree then left after one more particularly aggressive encounter with the dogs. (went after the wrong dog the second go around)
I never took them out in the open before but this definitely made a true believer out of me!