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I read earlier about how learning to counterpick the other team's picks is good, but that got me to thinking. What about team comps and strategies for the game? That is, what if the counterpicks for your lane leaves you with an overall weaker team.
Example, let's say the counterpick for your lane means you should be picking blitz or thresh (need that grab), but your team needs you to pick someone with more CC, say zyra or leona even if those aren't great for your particularly matchup. Or let's say an assassin (kat, eve, ahri) is the right pick for mid but lux or anne or midraka is what your team needs more.