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when "choking" the load is place on a non secured loop usually against a single part of line
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When choking a loop, there are 2 parts of line going thru the bight, not a single line. The bight has twice (2 parts of rope)the diameter of the rope pulling on it, increasing the bend radius to 2 to 1. No way is the strength reduced by 45%, 30% max. (see attachment fo strength loss on bends)
Also when using a fixed loop, the rope on rope abrading will be at different spots on the loop each time it is used. That's the beauty of using a loop, it's choked at a different spot each time it is used.