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but it seems like the thinner the paper is on revenues, the less 'tight' the details will be on the design.
Depends a lot on the color of the stamp in question. also, it all just depended on what day it was, which company had just delivered the paper, and what stamps happened to be printed that day. Once you get to about mid 1864, the paper thicknesses began to vary a great deal more, and after 1865 it could change a lot.
The reason that the scarce and rare part perfs and imperfs can be told in part by the paper is because few sheets were printed, and they were usually all done at the same time. So the shade, impression, and paper were all the same.