Yes, the lions and tigers can go in and out as they choose. The black leopard was someone's pet and was confiscated. She is elderly and has allergies and she stays indoors. The servals, I think, are also elderly. The snow leopard and Afghanistan leopard like to stay outdoors. The Afghanistan leopard, a personal favorite, is also quite elderly and one of 7 or 9 remaining in North American zoos, I think.
I prefer our Lion House to the 1980s style concrete boxes I've seen in some other zoos? But, I understand where you're coming from.