Too many variables left out.
Air speed of helo?
Wind direction in relationship to helos flight path?
Sisal, wire or nylon rope?
Rope construction, braid, twisted?
All the above can determine the outcome.
Watched lots of helicopters flying around trailing cables. They are transporting Geo phones for oil field exploration in bags, then fly back for more with an empty cable.
How can wind friction not be a factor?
You forgot about the average wind speed of an unladen Swallow.