So I just compared perfect paradox's maximum damage per shot, which is 3788. Now you multiply that by 21 because perfect paradox can hold 21 shots, and sleeper stimulant, which can do 9117 damage, multiply that by 8, and for perfect paradox the maximum damage is 79548, while the sleeper stimulant is 72936. These comparasons were done on leviathan at the very beginning when you enter the raid. So Perfect Paradox is better than Sleeper Stimulant. Assuming that you can hit a perfect headshot with every single shot of perfect paradox.
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A better comparison might be the damage rate (points per second). I would venture to guess that even with the recharge time the Sleeper will come out ahead. That may be a better way to account for the difficulty of landing the higher number of shots.