You know, if your whole fireteam rushes A right from the start (from the circle room and the waterfall cave), you can usually over takes the 3-4 people on C and gain the better spawn.
You can take an 80% chance to win the match right at the start, or you can go take A and fight a losing battle the rest of the match. Your choice.
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On shores of time you're almost better off to try and hold A and C (if you have a full fireteam and can communicate well) you'll throw off the spawns for the enemy and have two sniping lanes on B. Just my opinion though
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If that's your strategy with a full fireteam then that's fine. But, I still recommend rushing C as no one wants A anyways, you can take that one whenever.
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C is easier to defend but A has the heavy and better sniper lanes. I do think that the control points on that map are not really in the right places but I doubt bungie will change them