Tooting horn uses the goat horn model when tooting and doesnt display correctly

try optifine version which just changes the texture for an example
https://www.planetminecraft.com/texture-pack/goat-horns-32x/

the regular version is compatible with CITresewn and changes the model rather than just the texture

Sorry but I'm struggling to see where the issue is. The pack you sent works as expected.

Using texture CIT, not expected

Using model in CIT, expected

Interestingly optifine works with just the texture swap and does not work with a model
CITResewn works with a model but not a texture.
I tested this on version 1.1.1+1.19 and the bug is still there

What I think is happening is when you are using the goathorn it uses the default display and not the one for the tooting goathorn