The Tempest Double (unit) does not copy Tempest Double (spell) anymore, which was the only reason why it was disallowed from using Refresher Orbís active ability.

Now that the Tempest Double does not copy any skill points that were put into ultimate spells anymore, it should be allowed to cast Refresher Orb.

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Balance wise it should be mostly fine as well, since its cooldowns persist throughout resummons, so it may only use it once every 195 seconds.