textures for damaged Items not showing when they have the "Unbreakable" tag

I type the command: give @p diamond_sword 1 1561

{Unbreakble:1b}

And I have a texture that gives me a different sword when the diamond sword is on its last hit. It shows up when the sword isn't unbreakable, but it doesn't when it is.
I'm trying to make a map where there are other textures for the sword, but I dont want the sword to break at the same time. I tested this in 1.10, and the texture still showed up even when the sword was unbreakable.