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What advantage do ice line have over dry ropes? Beal variants for instance both have <1.5% water uptake and weight the same?
is there anything else that is special about ice lines?
You're confusing 2 different things. The Beal Ice Line is just a model name for a particular rope. Dry is a generic term referring to any rope with a water-resistant dry treatment.
The Ice Line is available with a dry cover and full dry treatment (Beal calls this Golden Dry), for ice climbing I would always do full treatment and not just dry cover.
Ice Line is what you get when you take a NON-dry treated rope up a waterfall at 10 F. Also called a steel cable.