For a cheap pump, i don't believe that the inlet/outlet ratio really matters!
The main problem with what I suggested is that there would be a huge loss of pressure/flow, because the centrifugal effect is effectively bypassed: these pumps work by throwing the water around, and as above, it would only be paddling the water around. Not good.
As for flow reversing, I think that as long as the flow rate is high enough, it shouldn't matter in which direction it's going. If the flow is too slow, then yes, there would be that problem in the order of the components.
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