Does Bound swords influence/be influenced by One-handed skill perks?

That's a good question that I'd like to know too.

My Altmer Mage has been using Bound Sword a lot lately. I know that it levels One Handed, but as for Perks...hmmm...

Yes, they are.

I would think so, since using bound swords raise the One-Handed skill.

Yes

Awesome feeling when your evil wizard decapitates someone and steals their soul using a magical blade.