I have a mac app. Logically, it could be considered a dice game. One of the listed categories for my LSApplicationCategoryType key is public.app-category.dice-games. But when I go to the store and look at the list of categories, I don't see one for dice games.
So if I use public.app-category.dice-games for the key, what can I expect to happen with my app in the store?
Oh, what the hell.
Dice games are, to me, a subset of the casino games category (usually - it might also be a kids' game, or you could make an educational game that uses dice to teach addition to children). So, if it's a supported category, Apple might just shove it into a broader category like casino games or whatever the app seems to be for. If in doubt, though, you really ought to contact Apple about it (whether or not you can do that, I don't know). Since the Mac App Store doesn't actually show it as a category, it might be a deprecated value, too.
At any rate, I can't give you a concrete answer, since I'm not Apple.