The top champions not in lane to counter Draven include Karthus, Nidalee, and Sejuani. These champions are all great at countering Draven with decent win rates over 56%. Even if these Draven counter picks are not used in the same position as you, it's not smart to play him into any of these matchups. They will usually beat Draven.
Conversely, if the opposite team brings either Maokai or Swain, Draven mains should strongly think about taking him, as he easily dominates these champs with win rates over 55% against both ofthem.
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