It's a simple manufacturing design decision, nothing else as there is no electrically mandated standard configuration for interconnects or internal circuit connection details. Why are you so obsessed about it?Again it's not clear what you're saying. First you say "That design is fairly standard" presumably referring to flipped russian design and now you imply the opposite "to save money" aka not standard.
The only answer that makes sense is as i said that they flipped it because there is no first cap. With first cap one just needs to continue the cascade (as shown in post 28). There is no reason why second one should be flipped.
As David in first video i linked explains that output of voltage multiplier is pulsed DC on top side and steady DC on the bottom.
So, when you stack multipliers like this input on the next one is pulsating only on one terminal, other is steady DC and since second one is flipped now it's getting pulsed DC on what would normally be it's bottom side and DC on the top side. But clearly it doesn't matter as long as one side is pulsing.