But you could make it look like several computers have copies of the data when there's really only one copy of the data. You would get credit/coins for multiple copies and reduce the redundancy of the files.
From what I read in the paper, it sounds like you _don't_ get paid for providing the data. You get paid for proving you have it when mining a block. Distributing your storage across multiples nodes would simply make it easier to "mine", but wouldn't get coins passively. That is, if I'm understanding the protocol correctly.