To me, a Hitch made to line itself on a single line is a Half Hitch (in perpendicular pull on spar form). But this Half Hitch, made to a bight/ eye is a SheetBend / Becket.
Can also have a Half Hitch pulling inline on spar (if slid off end leaves no knot); but makes Marl(if slid off end leaves OverHand Knot) if Half Hitch perpendicular pull form is used and free end just pulled.
Bowline, is then a SheetBend to self to form fixed eye.
BoB, does same on bight by sneaking an inversion in the back door, but must be sure to complete the inversion until Standing is deformed into Half Hitch locking into bight/eye of the end of the bight of the whole arraingemeant.
Karash would seem to give similar inversion, but not from OverHand (as in BoB); but rather fig.8. Must still make sure to carry the inversion all the way across to deforming the Standing into more of a fig.8 Hitch (Abok 1666) SheetBend to self.
Weather using a 1666 in place of a 1662; because it is more towards a better Nip of 1663(more ref. thru 1707) + more Frictions; disqualifies the form as a Bowline, i really can’t say. Except that the main change in the mechanic is more of a fig.8 Hitch than Half Hitch as locking Nip formed from Standing’s immediate tensions.
Line can only resist/ support on the inline axis, and then only in the tension direction. A line is strongest/ at potential strength when totally inline / straight; but mostly must be bent/ deformed from optimal straight to be used. There are only so many of these base bends/ deformities possible; and they should be named and mechanically understood. Also, should see same lacing as different mechanic / name per direction of force/pull/ flow on lacing.
One of my favorite strength retention references in Abok is 1669.