Does it fit within the Bowline family - that is, does its structure conform
to the requirements to be properly classified as a 'Bowline?'
Good question ! 
It is certainly a "PET" knot ( post eye tiable - a term suggested by Dan Lehman ).
It also looks like a "Janus" bowline.
However, its "collar structure" is very different from the "proper" collar
of either a common or an "Eskimo" bowline.
If the nipping loop is the characteristic element of the bowline,
then yes, it is a bowline.
If the nipping loop and the "proper" collar of "the" bowline are essential, then no, it is not.
The trouble with especially these, what I've chosen to call,
"anti-bowlines" is that their initially apparent nipping
loophas a tendency to elongate into an obvious
helix,
and this makes it harder to maintain the definition --as the
latter structure doesn't so surround & compress contained
parts as does the former.
I should note that the only place I've seen the basic knot
--shall we call it, mimicking the qualifier for the
bowline,
"the
common anti-bowline?!-- is in one article published
in
Knotting Matters (where the monikers offered were
"Swedish bowline" / "bollard loop"), and in a photograph copied
in a book, credited to Samson Ropes, of some sailboat line :
"common" indeed, ha!
If one capsizes the
constrictor around its own line (make first
the knot as though making a noose hitch, then capsize to make
an eye knot), the result is either this
common anti-bowlineor the
Myrtle looop --depending on which end of the
constrictorwas loaded. That's an interesting pair of simple, bowlinesque knots.
With similar thinking, working in the opposite direction with
one of the knots here --where the
constrictor sits within a loop--
gets a novel result (but not the
double anti-bowline).
Capsizing a
double contrictor gets close to something above,
but with a difference of crossing in the center of the loop.
--dl*
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