It’s hard to test whether double output pump systems work at all since all output pumps stop working when fully submerged. In order to keep them pumping we need to place the high up and allow the water to drain thus there will always be some falling involved.
In the interest of science I did an A/B test,
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Double pumps do improve yield. However the mechanism in which it does so ... Does it just make water split slightly more? Or is it really generating extra water as the wiki claimed?
If it's the latter ... it's not generating much. The improvement in yield is much less than 200%.