User blog comment:Maki Kuronami/The Issue with Flying Swords/@comment-24087318-20140922160855

You know, remaining in contact with the weapon in a similar vein as Penny/Blade would easily allow it. The whole "No telekinesis" revolves around we havn't seen anything like it, except in Penny, who's kept her weapons attached to her via strings. Combining that with the known fact that weapons act as conduits for aura, and you're left with the logical theory that only when you remain in physical contact with your weapon can you impart your Aura into it and amplify its effects.

Which, by that regard, even if the Fanon did allow telekinesis for levitating weapons, they wouldn't have the same strength or impact at all.