Removing durability bar with Unbreakable tag doesn't work.

I'm trying to remove the durability bar from an item with a damage variant using the Unbreakable tag. My command is as follows: /give @p minecraft:carrot_on_a_stick 1 2

{Unbreakable:1}

When activated, it gives me the original carrot_on_a_stick rather than the re-textured variant that I have in my resource pack. Is there anything I'm doing wrong?