Basically, if you put 2 coils end-to-end (series)...that's one coil with a "flat spot" separating them. Like if you put one set of loops on wick A and another set of loops on wick B with one long wire. Or, saying it another way, if you made two coils and welded them together end-to-end.. you made one wire out of it.
So it has to be parallel to be two separate coils.
See cautions in post above.
That's not, exactly, to say you can't do dual coils with one wire

but the positive contact would be between the two coils effectively making two paths as if it wire two wires. So that's parallel paths between + and ground.