I've done this a little simpler with a sink of hot water, then in the freezer, then letting it stay on the dowel for a few days.
That cable looks fabulous!
I have tried an even more minimal approach, because I have come to fear immersing wires in water - in my mind's eye I consider the water wicking back into the braided cable by capillary action and causing corrosion at the joint, and behind it, over time.
The dowel wrap is exactly what I did, but I simply gave it a few hours of direct sunlight on the porch rail and then left it wrapped on the stick, indoors, for about a week. It was a huge improvement, if not 100% perfect.