Been using Brenda's for a few years now, never have had a twisted rope.
Another helping touch is to never coil the rope until done for the day: or at all if possible.
When the skier is finished we reel in the rope and let it pile on the floor, leaving the handle on the seat. As the next skier goes, he grabs the handle, out the back, rope feeds out.
Never have had a tangle using this method. Not once.