It doesn’t matter to a cat whether you call their toilet a litter box or a litter tray. A litter box or tray can be a simple as a rectangular low plastic box filled with litter. Some are enclosed so the cat can have privacy. I’ve even seen one that was huge and had stairs so the cat could go down into the litter and walk back up to get out of it. There are some which self clean after the cat is done.
There are many options and it makes me wonder what cats think about those options. I’ve never had one request a fancy self cleaning one because they usually like the job I do when cleaning out their boxes everyday.