I'm not totally sure what your question is but it seems that you are asking if pole arms mark as one-handed are affected by the one-handed weapon skill and the ones marked two-handed are affected by the two-handed weapon sill points.
I'm pretty sure they don't actually. Of course, I haven't really seen much difference in proficiences for melee weapons. When I start a character I can swing just as fast as Dranton or some other high level NPC but I don't do as much damage because of strength.
Well it must be the polearm skill. Why would there be a polearm skill if it didn't matter to the weapons? The 1H-2H thing is there just for information, I think.