knudeNoggin
You make good points about here being several non-redundant pieces in a climber's set-up (single rope, belay loop, belay carabiner, tie-in knot). All of these pieces are very overbuild so as to not fail under normal use. The cord that is often used for these lanyards, including the one pictured, is 7mm. I've not had problems with the pictured lanyard but I also don't think it's completely kosher given the reduced load rating when compared to something like the belay loop (which I think are usually rated at 40kN).
The relevance of the load rating is to an expected load. The lanyard can be
replaced if it gets worn, the belay loop is expected to endure longer, hence
its beefier nature.
I retied the pictured lanyard once I had it off of my harness. It was not girth hitched to my harness but rather tied to it via the loop that was formed from the overhand knot. I hope this makes sense. This is why I can't tie whatever knot that I'll end up using on a bight.
One can tie a two-eyes knot through a ring (or a harness) in the bight.
E.g., a simple meeting of your criteria (beyond what I continue to say
meets it, the so-called "Bunny Ears 8") is tying a Fisherman's knot with
the bight; you can then finish by taking the independent ends out
through the bight-end of the knot (which finish now is clearly not in
the bight).
The lanyard that is currently on my harness was tied with an Alpine Butteryfly. That was a pain to tie not on a bight.
But that is because you have not realized that the knot can be tied
in the bight (i.e., as though the two ends were joined) in the usual
manner, and it will transform into the desired orientation with a little
coaxing -- legs of the eye become ends and vice versa, that sort of
transformation. This is for the common knot, not a 2-eyes one, btw;
I have not investigated the latter for the property.
A figure eight double loop does not meet my criteria. The loop comes undone with little resistance once the other loop is cut.
This statement I cannot understand; I can tie the knot and test it
with some force and see nothing to show me any coming undone,
and certainly not with "little resistance"!! ?? So, how badly are you
tying this knot or some pretence to it that you find your behavior?!
(I seem to recall some other climber's seeking of this questionable
ideal of redundancy to an even stricter demand than you make : he
wanted to guard against even the connecting strand of rope between
eyes being cut and leading to failure (it would take some skillful,
focused cutting to achieve this!). And as I recall he found someone
who had tested the Bunny Ears and got the failure as feared, but at
a rather high force (I think it was higher than top-roping would
provide to an anchor). So, that is testing of a more demanding
criterion than yours and results that strongly support the Fig.8
staying tied with a cut eye.)
*knudeNoggin*