You are right, DDK, but...
...if one removes the two ... twists from the bend above...
If one were to tuck the ends as described above for the Granny Knot, then I believe one would obtain the "twice twisted Smith/Hunter's Bend".
1. I think that the "false tied" Zeppelin and the "false tied" Hunter s bends, remain in the Zeppelin and the Hunter s bends families of knots, respectably - if we distinguish those two families by the way the standing parts leave the knot s nub ( from opposite sides, in the case of Zeppelin bends, and from the same side, in the case of Hunter s bends ).
2. Now, there is a problem with the un-twisting of the standing parts of a - once or twice - twisted Hunter s bend. It can be done in a way that ends up with a properly tied Hunter s bend, or with a falsely tied Hunter s bend, depending of the way you
remove the twist(s), i.e. the way you re-tuck the standing ends or tails after you have un-tucked them.
3. I do not start by re-tucking a Reef, a Thief or a Granny knot ! The re-tucking of those bends are just special cases of the re-tucking (through various openings) of the more general knot "bases" from which we can start. See (1) for a complete enumeration of the bends we get when we start from the knot "base" described there, and re-tuck each working end of the two links through one of the 7 openings of this "base". See the attached picture for the knot "base" I call "H base", because, by re-tucking the working ends through various of its openings, it generates bends belonging mostly to the Hunter s bend family of knots - and not to the Zeppelin bend family of knots ( with the sense mentioned above). Re-tucking the working ends through the central opening of this base, ( C - C ), we end up with the "twice twisted Hunter s bend".
4. My "nomenclature"
is nothing but superficial provisional labels, until we find better names for those knots. We may name them by paying attention either to the knot base from which we start, i.e. the method of tying, or to the final form of the knot. So, we may omit the name "Hunter s bend" altogether !
5. For re-tuckings of the Reef family of knots in other ways, see (2).
1)
http://igkt.net/sm/index.php?topic=3086.msg18494#msg18494 http://igkt.net/sm/index.php?topic=3086.msg18601#msg18601
2)
http://igkt.net/sm/index.php?topic=2085.0