Wire guidance has been a thing for years. Naval torpedoes have been wire guided since the '70s, as have TOW (Tube-launched, Optically tracked, Wire guided) missiles. TOW missiles are usually pretty short-ranged though.

The wires are extremely light (fine gauge) because you can't fly something trailing a huge, heavy electrical cord. They shouldn't be heavy enough to cause decapitations, etc. It's more like going through a thick spider web.