Nope. As far as I have noticed, the ONLY magical effects the followers use are the staffs and the spells that discharge when a weapon is used or the passive enhancement of an armor that is worn.
My follower (Erik) wears it, and as far as I have seen, it does not work on him.
Two follow up questions about this helmet:
> Can this helmet be disenchanted?
> Is this unique item avaiable only in Dragonborn DLC?
Thanks!