That seems counter intuitive Anusien, I don't think Eye would trigger for each spell played via its own ability. That creatures this infinite loop where you play spell A from EoTS which allows you to play spell B which allows you to play spell A ...ad infinitum. I think it triggers once per actual spell cast ( which is subsequently removed with Eye ), but not by playing copies.
How does it work under the assumption that it only triggers once per actual spell cast?
They don't trigger off the copies played. You misunderstood me or I misspoke.
Whenever a player plays an instant or sorcery card, remove it from the game. Then that player copies each instant or sorcery card removed from the game with Eye of the Storm. For each copy, the player may play the copy without paying its mana cost.
By the way, you never cast spells, you just play spells and spell cards. When you play a sorcery or instant card, Eye of the Storm's triggered ability goes on the stack. When it resolves, it removes the card from the game and copies the cards removed from the game by EotS. During the resolution of this trigger, the trigger itself lets you play any of these copies. If you do play them, they go on the stack, and if you don't play them, they cease to exist at the end of the trigger.
NAP: Play Swords to Plowshares. EotS triggers, copies StP and NAP can play it.
NAP: Play BS. EotS triggers, copies BS and StP; NAP can play both, either or none.
AP: Play Smallpox. EotS triggers, copies BS, Smallpox, StP; AP can play any number of them.
NAP: Play Reset. EotS triggers, copies BS, Smallpox, StP, Reset, NAP can play any number of them.
NAP: Play Force of Will. EotS triggers, copies BS, Smallpox, StP, Reset, FoW, NAP can play any number of them.
So if Active Player has another instant in hand (for instance Repeal), they could do the following:
Response to the copy of Force of Will: Repeal targeting a legal target. Eye of the Storm triggers and removes Repeal from the game. Repeal's removed cards: Swords to Plowshares, Brainstorm, Smallpox, Reset, Force of Will, Repeal. Each of those spells are copied. Active Player can play as many of them as they want (note X=0, so you need a legal target to play it with CMC=0). So they could do: "play Reset, Force of Will targeting your Force of Will, Smallpox, Reset, Swords to Plowshares targetting your guy."
Make sense?