I know it's traditional to paste strops, and therefore to strop with paste, but strops (even paddle strops) are not a hard flat surface (and thus running a blade edge first across them would risk rolling it). If I were to take a block of wood and put some chromium oxide on it, it would be a hard surface. Would it be possible to run a blade across such a improvised bench hone edge forwards? I'm not sure it wouldn't do a better job of making the edge sharper.