Both are the same, just different description. It's quicker melee attack speed.
English
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"DECREASES MELEE ATTACK COOLDOWN TIME" "increased melee attack speed" those by definition and understanding of the English language are different. if they are the same then bungie needs to make them both say the same thing just like everything else. yes, clearly only one can be in play or else it would be an extra perk. im requesting they FIX it so i can actually know which one is in play.