That is not strictly accurate. The ends of the paper Cartridges were dipped in the lube blend. The bullets (most commonly the "Pritchett") were swaged to about .564 (That's off the top of my head and may not be exact but close enough to give you the idea.) dia. USApaper cartridges were rolled with the bullet nose forward.
English and most later CSA cartridges were rolled with the bullet nose pointed in. In practice the cartridge tail was bitten off and the powder poured in the barrel, the cartridge was then reversed and the lubed end inserted in the barrel. The remainder of the paper was then discarded. What was happening was they were effectively shooting paper patched bullets. Thus, no need for grease rings.
In the image, the bottom two are English cartridges (allegedly original) with lubed ends.
Attachment 47519