What's considered 'cheese' in 1v1 is pretty much standard play 2v2, because doing anything but playing hyperaggressive is silly. As starhunter brings up, you want to establish map control to create 2v1 situations - this is done by having more shit than the other players. Also, most tech builds are only geared to survive against aggressive builds 1v1, and thus the number of 'safe' builds is drastically reduced.
BW 2v2 was removed from professional leagues because every game was speedlings+mass zeals (into eventual mutas and sairs vs mutas) and involved relatively little strategy.
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