And that’s the rub - one might end up just sliding the wedge’s blade on its side with no meaningful contact with the edge.
I don’t think wedges lend themselves to this sort of technique.
B.
Unless it was honed with the spine elevated (which you should not do) flat is where it should be stropped.
Many hone wedges with a couple layers of tape and that will give no reprocussions when stropping flat.