He clearly stated that he built loads of mutas just to see his opp build archons that (!) counter mutas. He lost his army, tried to rebuild, but had no macro to support tech switch. So he is asking about whether his initial tactics was correct.
If you can build loads of mutas (and let your turtling opponent get 4500 gas of archons), you should definitely have both the map control and gas income to produce more than 4 infestors. Somewhere in there is a serious macro error.
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