Valid point on the mule tape. I've sewn loops in mule tape, but typically make the sewn-section quite long (3"-4"). I've bar-tacked across the width almost exclusively, and have tried the long-stitches.
I don't have testing equipment, but I did pull the mule tape tight across a 12' horizontal, and hung my 220# from the center without the loop failing. Those loops were all larksheads for hammock-ends, and the larkshead also constricts the two layers of tape, which I assume would add to it's strength...
I have to go re-think my mule tape uses....
John
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