I will tell it right from the beginning, and I will tell it once more at the end of my post :
Do NOT use a fixed loop ! Replace the fixed loop with some other structure - simplify the mechanism ! The issue discussed in this thread is NOT resolved, and one reason for this is that oftentimes people mix many purposes, and arrive at no end.
It will lead us nowhere if we describe knots, by their application to particular problems ! It is a common mistake most knot tyers do, because of years of brain-washing by the popular books about knots - which, most of the time, are books about
recipes on how to tie certain knots, not books about the knots themselves - and they are addressed to people like they were parrots, soldier-like boy scouts, housekeepers, etc. We have to describe the knots themselves, as mechanisms based on some structures. And to start doing it, we have to start from the first thing the knots are : 3D objects - i.e., we have to start from their
geometry.
I believe that the geometry of the many different knots discussed and the many more hinted in this thread has not been clarified - and, instead of this, the only categories we have, are the categories of the various functional characteristics the knots are meant to incoropate : A quick and dirty enumeration of those functions would one be like this :
1. Adjustable nooses / loops.
2. Lockable sliding loops.
3. Tight hitches, on the surface of the object.
4. Tight hitches, away from the surface of the object (mid-air).
5. One wrap binders.
6. Two wrap binders.
7. Adjustable grip bends.
8. Localized or spread along the line knots ( like the Sheepshank, or the Capt. Mullins knot )
9. Knot mechanisms that utilize a block-and-tackle like mechanical advantage.
10. Post eye tiable (PET), or ante eye tiable (AET) knots.
and so on...
Even if we restrict ourselves to study the function, and not the geometry, the structure or the mechanism, as we should, the knots described in this thread belong to many different categories - so I believe we can not compare them.
The usual pitfall we fall into, is to try achieve too many goals, and excel on each and every one of them - this pitfall goes straight to the abyssal dead end of the KnotLand, called "
complexity". The exact opposite of complexity is
simplicity - we know it is a good thing
for us, although we do not know what it is
per se - and, of course we can not
define what it is !

(1)
If we are ready to accept a fixed loop at the one end of the line, we can simply tie the most easy knot mechanism that utilizes a mechanical advantage, the
"trucker s hitch" - or tie a symmetric binder, a Double Trucker s hitch, like the ones shown in (2), or the asymmetric ones shown at (3) or at the first attached picture, for example. However, the interesting and challenging thing is to figure out simpler knots, easier to tie than the
trucker s hitch.
One other, simpler way to go, is to the start from a decent adjustable loop, and reverse the direction of the returning eye leg, as it enters into the nipping structure tied on the Standing Part. Sometimes this simple trick works, because the additional U-turn of the line, just before it enters into the neck of the loop, is sufficient to alleviate the tension the nipping structure has to absorb. Of course, this nipping structure/trap has to remain oriented as before, and not flip and release its pray ! I find it very hard to predict if a nipping structure is stable, after it is penetrated and loaded the other way, or it flips - I just try and see. The nipping structures of the Constrictor and the Serpent nooses / hitches (4), for example, do not flip. See also simple symmetric binders, utilizing a mechanical advantage, at (5).
What is the angle between the two loaded ends of the tensioned loop ? That is a question of
geometry, and it matters ! If the angle is not very wide, we may use many Eskimo-like adjustable loops, like the ones based on the very tight, and sometimes even jamming, Glove, Girth or Pretzel nipping structures ( 6), (7).
In an effort to use a as simple locking mechanism as possible, I have thought of the Blackwell hitch, where, in place of the hook we have a properly positioned bight. See the two mid-air binders shown in the attached pictures ( which, obviously, are too simple to be able to incorporate the doubled lines of a rope-made block-and-tackle mechanism ). They are the most simple such binders I could think of.
Even if those or similar knots do not seem tight and secure enough, I believe that the middle ground should be explored, before we need to use a fixed loop. There is ample of space in the KnotLand that has
never been explored- and that is why I had made the comment I made at the start of my post :
Do NOT use a fixed loop ! Replace the fixed loop with some other structure - simplify the mechanism ! 1.
http://igkt.net/sm/index.php?topic=3740.02.
http://igkt.net/sm/index.php?topic=1870.msg17414#msg174143.
http://igkt.net/sm/index.php?topic=3012.msg17902#msg179024.
http://igkt.net/sm/index.php?topic=44545.
http://igkt.net/sm/index.php?topic=1870.msg21229#msg212296.
http://igkt.net/sm/index.php?topic=43477.
http://igkt.net/sm/index.php?topic=4464.msg28352#msg28352