"... Endless battles". There was like one real battle scene in the entire movie lol. This movie wasn't very good. It tried to do too much and leaves you with a bunch of components that feel incomplete. I haven't seen the director's cut though.

Another reason the crown would've been cool is that it is more symbolism for Rhaegar's three-headed dragon prophecy. This prophecy is woven into the story of the books and is a huge plot point - and one that the shows totally ignore.