I'm not sure if this would apply in your case, but I have a captive, braided halyard. Being that the end won't let any twist out of easily, I have to coil the halyard with alternating twist. Basically, each other coil goes behind the leading end by getting a 1/4 turn in the opposite direction. This way, no twist builds in the rope. This is less of an issue with 3 strand, but if you're feeding twist into the system in the same direction, it will build up over time.
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