The trapped chest has the texture of the regular chest in the inventory.
How to reproduce:
1. Change the texture of the trapped chest to something very different than the regular chest
2. Take a look at it in your inventory
3. It still looks the same
Linked issues
is duplicated by 3
Attachments
Comments 26
Affects 13w11a.
Confirmed for 1.5; this is rather annoying in texture packs which make the trapped chest look like an elegant/decorative chest.

Confirmed for 1.5.1!
Very annoying when using texturepacks ...
Uploaded screenshots and test skins for comparison.
I think MC-10757 describes the problem better, it's not only the inventory, hand-held trapped chest items are wrong too!
From my observations, this bug effects trapped chests and anvils in:
The inventory
The hands of mobs and players
Item frames
Dropped items on the ground
As a helmet of a player/mob (requires NBT editing, but Mojang-supported feature)
As falling blocks (requires NBT editing for chests, but Mojang-supported feature)
Inside minecarts (requires NBT editing, but Mojang-supported feature)
All of these situations use the Item Render of the block - making the Item Render display it correctly should fix this bug in all situations.

Confirmed for 13w25a/b/c !

Confirmed for 13w26a !

Confirmed for 1.6-pre !

Confirmed for 1.6.1 !

Thanks for fixing this Jeb 🙂
Confirmed.