I would n be surprized if this change ( modification, as you like to describe any additional re-tuckings on the same base, starting from the same underlying knot…) would be exactly what was missing from the Ttresse bowline right from the beginning : namely, a more complex bight component structure, in accordance ( “balance”, as I like to describe it ) with the more complex nipping structure. Although you had not made the full operation I had proposed - to make the second U-turn around the rim of the “lower” nipping turn only, and then drive the working end through the “higher” nipping turn, and then through the collar (1) - nevertheless you did enhanced the material and/or psychological security of the structure to a great degree.