If score voting were adopted, then it automatically would decrease the importance of money. We first must ask the underlying question: why is campaigning so absurdly expensive? When today's technology makes it easy and cheap to publicize your message? The reason is that
This all is a fact which the media virtually never talks about. Indeed they virtually never mention the importance of other voting systems even when it is staring them in the face, such as Donald Trump and Arnold Schwarzenegger (/Trump2015.html). In those cases, the entire real story was the voting system, but the media would simply not talk about that actual story. Not even for 1 sentence.
The strategy to stop money-corruption of politics must be 2-pronged: not only try to get money out of politics – a noble idea, but one which nobody has managed to do in 200 years of US history and even if done would be very vulnerable to cheating and backsliding and the fact the FEC almost never enforces even the lame laws we do have – but inherently decrease the importance of money. The latter idea is one almost nobody in the media talks about, and hence almost nobody knows about. (And if money mattered little, then that'd remove the incentive for cheating, partially solving the cheating and non-enforcement problems.)
Some other remarks on cash by Sherman/Smith/Carback