In relation to F8 'strong' form v 'weak' form:
Too long - don't read unless your name is Dan Lehman 
I'll make a few remarks based on my personal observations and extensive experience in the use of knots employed in life critical applications (eg climbing, abseiling, canyoning, etc)..
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The notional concept of knot MBS (strength) is largely irrelevant. The idea of choosing a knot based on some perceived strength advantage is flawed (eg F8 v Bowline arguments). In modern human rated synthetic ropes, even if a particular knot causes a reduction in MBS yield by 50% - there is still ample margin of safety - it is not a 'show-stopper'. The humble simple overhand eye knot is 'strong' enough.
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The idea of having 3 rope diameters inside the nipping loop of 'Bowlines' is sound - but the primary benefit is not due to a measurably significant boost in MBS yield. The benefit is padding - it lessens the sharpness of the bend radius of the nipping loop - and promotes elastic deformation rather than plastic deformation.
Rope fibres when subjected to very tight bending/curve radius are microscopically being torn apart in one cross-sectional plane, while also being compressed in that same cross-sectional plane (ie unequal loading effects within a cross-sectional plane).
Extrusion is also occurring during loading. Rope material is 'extruded' out from the knot core via s-t-r-e-t-c-h-i-n-g. The knot core compresses - which tightly squeezes rope segments. At the same time, a pull is being exerted on the S.Part - which is being drawn out from the knot core. As load continues to increase, a threshold is reached where eventually the struggle is lost - and plastic deformation occurs. (Note: Ideally, we want the rope fibres to remain within the elastic deformation range).
This has the effect of accelerating 'wear and tear'. And so padding out the interior of the nipping loop should delay compression and extrusion sufficiently to lessen wear effects over time. Note that modern rock climbers are taking multiple free-falls in one extended climbing session - their rope is being subjected to repeated shock loading events.
(Note: One can also relate to pulleys - where the sheave diameter has a measurable effect on efficiency).
A secondary benefit of padding out the nipping loop is an increase in the mass of rope material within the knot core. This creates a larger 'heat sink'.
We know that under loading, the localised temperature of the knot core increases - we can see this in real time with thermal imagery. The movement of rope fibres against neighbouring rope fibres while being compressed causes friction - which results in heat build-up. In all knot break tests that I have done (which is considerable) - I always see evidence of melting/fusing of rope fibres. And so having a larger heat sink helps to disperse heat via conduction and radiation across a larger mass of rope.
Essentially, all knots create a localised stress concentration in the rope. The effects of heat build-up, unequal cross-sectional loading of fibres, and extrusion of rope material all combine to deteriorate a rope. The degree of deterioration is proportional to load - which in turn is affected by the properties of the knot.
With regard to Dan's 'strong' v 'weak' form of an F8 eye knot:
The relative position of the S.Part within an F8 eye knot has a noticeable effect on core compression - which results in jamming. In a side-by-side "pull-it-till-it-breaks" test, we don't see a statistically significant difference in yield. What we do see is a noticeable difference in jamming.
The Double F8 eye knot (aka 'Bunny ears' F8) has a larger mass of rope material in the knot core. This provides a larger heat sink. Bend radius of rope segments are padded out more. In theory, we should see some measurable difference in the MBS yield of single eye F8 versus a double eye F8 - but this difference is not relevant to the average rock climber. That is, the percentage difference in MBS between F8 'A' versus F8 'B' is not the overriding safety concern. Tangible benefits of Double Eye F8 is in regard to anchoring options. Jamming threshold will be different - and long term wear and tear will be different.
Over time, repeated compression and extrusion will deteriorate the rope fibres. And I think testing ought to be designed to measure the effect of long term repeated compression and extrusion of rope fibres - using various samples of rope subjected to such loadings.
Note that in rock climbing, the portion of rope that is subjected to stress concentrations is predominantly in close proximity to an end. Climbers tie their rope into their harness - and so the knot is located in the same general position each time the rope is used. Some climbers flip/turn their rope around - so as to spread the 'wear and tear' to the opposite end. Note that some don't - and don't even care.
I think a test could be designed to subject a rope to repeated loadings using one particular knot species - lets say 500 cycles of repeated shock loading to 'condition' the rope.
Then test that sample of rope in a straight line pull versus a U turn pull (to simulate a carabiner bend radius).
The long term 'internet' arguments over F8 eye knots versus 'Bowlines' are largely non-sensical in my view. The theme lines spewed by ill informed commentators generally revolve around:
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Ease of checking during so-called 'partner checks' (the familiarity argument)
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Knot security - alleging that 'Bowlines' unravel and "you're gonna die"
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Ease of tying - the argument being that F8 is 'easier to remember and tie' - and "you're gonna die" if you attempt to tie a 'Bowline'.
All of these arguments are subjective (not objective).