Rudder Head Design
The rudder head is formed from a piece of soft aluminum channel. It is fairly wide and therefore has a bit of twist along the length of it when rudder vs tiller loads are applied. The stiffener plate completes the "box" by connecting the two open ends of the channel, thereby stiffening the head and reducing overall steering slop, which can consist of: all of the bolts and bolt holes' wear, rudder head twist, tiller bend and pintle/gudgeon slop, and bend in the rudder itself. If you are going to continue using the stock rudder head, a stiffener plate is an easy upgrade, and may reduce annoying steering play/twist. Otherwise, an alternative is replacing the rudder head assembly with a more rigid material and design.