From the human point of view, covered litter boxes are a great thing. They keep the feces out of the sight, the smell is less noticeable and your cat has some privacy when she is on the potty.
But, on the other hand, lots of cats feel anxiety when they have to use a covered box, especially larger cats. Also, the airflow isn’t that good so it is going to need a lot of time for litter to dry and the smells to evaporate, and you will probably scoop it much infrequently.
After all, cats are very vulnerable while using the litter box, and the closed box doesn’t give them an escape route if they are being attacked by other cats in the multi-cat household.