Cooldown on Zoe W

Maybe there should be a cooldown on W to make it fairer? In ARAM, if Zoe picks up two snowballs, there's a two-minute cooldown on the second W cast. I'm not saying make it two minutes, but maybe a one-minute cooldown since waves spawn every thirty seconds and you're pretty much guaranteed to get a summoner/active drop per wave. This way she can still use her W if she picks up a summoner/active, but she can't just pick up your flash or cleaanse in lane and use it for herself or use 4 flashes and 3 ignites in a teamfight and run over people with their summoners/actives and W damage. If she uses her own summoners/actives, she still gets the damage from her W since it's her own summoner used. Might be hard to code, but that would help balance her and if she's still broken, then you can just go about nerfing her damage, CDs, mana cost, etc.