Yes thicker cow horn does tend to laminate, cow horn and rams horn are Ceratin ie fingernail mat'l and althoug rams horn can be bent squashed and formed into shape cow horn is a different ball game for shaping.
Cow horn is mainly used in its natural shape and is liked by stickmakers as the large open end is used foe mounting objects cast in cold cast resin domed and polished to form a decorative stick.
This is the one and only cow horn stick I made, early in my forage into stickmaking
If you need more inf on the process please ask.