Yes no problem to flatten completely.
Bear in mind that when it comes to gluing the horn you want the core as stiff as possible because it acts as a form for the softer horn. Eg. the horn will follow the shape of the core and it is easy to twist the core during glue up.
You can also prepare the core then glue on a sacrificial piece of wood to the back of the core to stiffen it, glue the horn, then remove this piece when you come to shape the core prior to sinewing.