That extra three minutes you spend killing trash mobs that drop nothing 99.99% of the time turns into entire strikes that could have been completed when you run multiple strikes.
Speed running maximizes the number of guaranteed engrams (which is why you run strikes in stupid first place) you get in a strike at the end in a certain period of time.
Each strike can be done in under 10 minutes, so if you're taking longer than that you're just wasting time. Idiot.
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First off would you not like extra engrams for MAYBE 5 extra minutes. The enemies usually drop at least 2 rare engrams for me on strikes so that's potentially double the engrams
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Nobody wants to gamble on potential rewards. They're there for the GUARANTEED rewards.
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No dude why would you want rare engram's?
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To level up your cryptarch