If a pig wearing a saddle has a name tag added and the game is saved and exited, apon reload, the name tag is gone.
To reproduce.
1) Create a world
2) spawn 2 pigs and a horse
3) tame the horse
4) leash the horse and pigs and attach to a fence post
3) put saddles on the horse and one pig
4) put named tags on all 3 creatures
5) quite the world
6) reload the world
7) Notice with a sense of wonder how the saddle pig has been able to loose its name tag!
Confirmed.