Sorry, one slight difference, but nevertheless, I would place it in the same family. The difference is where the end goes. An it is indeed a curious feature, that by withdrawing the end in the knot I linked to, so that it goes on the other side of the standing part where it emerges, the knot becomes more secure. There is much likeness, but afaik, the knot is not in the ABoK.
If a swift way of tying it is invented, it might be a good alternative to the bowline.
I have seen this family (or structurally-similar class) of knots being called
Samisen, after the Japanese stringed instrument of that name. The same underlying structure is (apparently) traditionally used to secure the strings to fixed loops of cord at the "tailpiece" of the instrument. These knots are discussed at some length in a series of very interesting articles by Pieter van de Griend in IGKT-PAB's
Knot News covering Hjalmar Ohrvall's contributions to knotting knowledge. In particular the last article, from Knot News #69 (Sep 2008), has a couple pages devoted to Samisen-like knots.
As far as related knots in ABOK, see #1463, p. 265 for a bend based on it. This is promoted as heaving-line bend, but apparently there's no particular reason to believe that it was originally used for that, given Ashley apparently learned of it from Ohrvall, who in turn had encountered it (or a similarly structured knot) on an actual Samisen in a museum in Sweden.
More to the point, another P. van de Griend article called "The Constrictor Knot Revisited" (
Knot News #62 (July 2007)) shows a loop knot based on the structure, quite similar to the two knots being discussed here. It is pictured below. I find that a simple way to reliably tie these Samisen loop knots is to start with a loop flopped over the standing part in the same manner one would use to make a Marlinespike Hitch. Even though it may not stay in this form after drawing-up, it is a recognizable shape that makes the turns and tucks easier to remember. This precursor is shown along with the above-mentioned knot:

[EDIT: clarifying which article discusses what, and 'O' instead of umlaut for Ohrvall as forum didn't accept it as entered...]