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The actual flow out of each switch's outlet depends on that branch's pressure, which in turn is based off some poorly understood equation and the smallest pipe in the path. The path with all big pipes gets the large pipe's multiple applied to its pressure, while the path with medium and large pipes gets the medium pipe's smaller multiple applied to its pressure, much like with pressure gained/lost with elevation.
I've done some testing: connected 3 small water towers to one side of a big tower via switch using only big pipes, while on the other side of the same tower I made a similar configuration, but using one big pipe into three medium ones.
Logic suggests that there should be no difference in total water flow, since three medium pipes combined can move greater volume of water than a singular big one, yet somehow the side with three big pipes not only has higher pressure, thus delivering more water, but also goes over the maximum throughput of a large pipe by about 100 m³.
If you want, though I am kind of taking a break from water stuff.
I am sure you can understand why.