When Henry dies it happens off camera. But we know he has died because in a close up, his crown drops to the floor and bounces in the way a cardboard crown you had gotten at Burger King would bounce. You'd think for a close up they might have found something made of metal, not paper.
sharegiven that everything else in the film that is supposed to be made of metal looks and sounds like metal, i'm sure the paper crown was given to the bearer in pure mockery -- hence the "cheapness" seen in that tight shot, and its matching sound when hitting and collapsing on the floor.
shareThe deposed Henry VI wore a paper crown as part of his senile self-delusion. In his first scene, there's a closeup shot of the crown so that we can clearly see it's made of paper. Edward IV and Richard later refer to Henry as "the paper-crown king" in their conversations.
Henry is given a real crown only when he rides through the streets on his way to and from the battle against the Prince of Wales, so that the public won't realize Henry is addled. Edward and Richard have spread the lie that Henry has renounced the throne and turned against his son, the Prince of Wales, so they don't want the public to realize Henry is not of sound mind and thus incapable of making these decisions.