I think this is good idea.
With this and imposing some distance limitations on weapons (so that some weapons - SR and HW - can’t be used on adjacent targets, AR and SG get accuracy penalty) and melee hits making the target stick in place (and receive a hit if they attempt to move away) (I started this thread Let's fix... weapons balance! on fixing balance between different weapon types to discuss this), melee and non-meta berserks would become relevant in the gameplay.