Interesting thing I've found...

[Pokemaster Ash]

Well, unless you were trying for their hidden ability, Dratini only has one (Shed Skin).

And I know the randomizer can sometimes go on a streak, but I think there is an actual problem with it since if I'm trying to breed one egg at a time (using the cheap way of breeding: save before dropping the Pokémon off at Day Care and if I don't get what I want, reset and try again without wasting money), that egg always has the same ability. If I get multiple eggs at a time, that first egg still always has the same ability, the subsequent ones are random like they should be.

If the randomizer actually IS still working properly, then the game must just be getting back at me for how they changed Everstone's mechanics (since the randomizer in Black and White seemed to love ignoring it when I tried to breed things in those games, and now that it can't, it's apparently found some other way to screw me).

EDIT: Now I KNOW the RNG is broken. Trying to breed a male Lombre and a female Lotad in W2 (the Lotad has the ability I want (Rain Dish), but I want a male). I keep getting Swift Swim (which in this situation should only have a 20% chance of appearing, with Rain Dish having an 80% chance of passing in this scenario). This HAS to be a bug of some kind now...