I dislike the idea of anything caged...even when people have cages for dogs!! However I had a darling little loving budgie from 2002 for six years. He had a very large cage and when we were home his cage door was always open. He only got put in the cage at night and when we went out. The latter because we read if there was ever a fire in the house, he was more likely to be rescued if caged.
He was in and out of his cage, he had a large branch on top of said cage he had his freedom. He always came to us....loved sitting on me when in my chair. I gave him as much freedom as I could and he seemed very happy. I loved him dearly and he brought us great joy and companionship. We still miss him terribly but we know he had a good life with us. I still don't like caged birds and would never have another one.