Camera overlay doesn't work with animated textures

What I expected to happen was...:
I expected the texture to be animated.

What actually happened was...:
The texture was displayed all at once, not animated.

Steps to Reproduce:

1. Execute the command /give @p minecraft:diamond[minecraft:equippable=\{slot:"head",camera_overlay:"block/prismarine"}]
2. Put the diamond on your head.
3. Switch to first-person view if you haven't already.