Affects Version/s: Minecraft 1.9, Minecraft 16w33a, Minecraft 16w43a, Minecraft 1.12.2, Minecraft 1.13-pre2
Fix Version/s: None
One would expect horses and pigs to be affected by the levitation effect, whether they are being ridden or not. This doesn't seem to be the case.
Rideable animals go up as expected when alone. However, when the player gets on them, the levitation stops being effective and they fall back to the ground, until the effect runs out or the player dismounts. This is not the case for non-player entities riding the pig or horse.
Rideable mobs are very useful for map making, and I think it would be best to fix it. This would allow for slow falling mounts and all sorts of things.
EDIT: After some more testing, it seems this is not the case when you summon the horse or pig with levitation. Potions and the effect command seem to be a special case here.
EDIT 2, after testing in 16w42a: The bug is still standing, though it has changed for pigs. Pigs are now affected by levitation when the player rides them, but when the player starts holding a carrot on a stick, to control them, they fall back down to the ground. The horses are still the same.