You have a very good point.
My plan always was to remove the cord and place it in a pocket along with the knife (if needed) if I was in a situation I need my PSK. There is nothing in my PSK that taking a few seconds for unwrapping cord would matter.
One other thing I have done in my kits is to replace the button compasses with something I can attach a dummy cord to… they are way to easy to loose!
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"Trust in God --and press-check. You cannot ignore danger and call it faith." -Duke