My secret friend sends me puzzles quite regularly and keeps my humility at the forefront when he insists that I can solve certain puzzles and I really struggle. The above disentanglement is called two spirals (or dual spirals) for obvious reasons and the present Mrs S says it is ugly. She's right but the solution to it is far far from ugly - the Aha! moment is fantastic! I really struggled to reassemble it the second time around - it took me 2 hours!! Also there's almost no risk of knots whatsoever because of the beautifully elegant set of moves!!!
If you can make one for yourself then definitely do so - it is fab. Louis, I'm bringing this to an MPP for you soon!