That is what i've done for long time if used this, more cumbersome to adjust but can be done.
But, want Bowline-esq finishes to be tight, not floppy or are more of just end of run stops(hopefully), not solid hold.

In classic form w/o Bowline endings, the problem i see is the dutifully tied HH locking against self
can roll out to just a Round, 360 of the pressing parts not aligned to lock;
bypass each other and 'fold' out, dumping it's load of the sandwiched host.
We still visualize HH, but not the mechanic employed in this model.
Even in Bowline proper, want the collar stiff enough/short enough/close to leveraging to force HH to keep at 90 degrees.
>>where nipping loop tension is lower than input to output tension of HH as also seen in pre-fixing HH on lengthwise pull
>>if HH rolls out/loses 90 shelf like look, then the nipping loop is a Round(360) and as inline now /not 90 to input/output of HH
>>is tenser, as in forceline now, 90 degree wasn't
Increased force, near miss, can roll out and dump host as rope runs to freedom!
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In log dragging, any kind of eye, pre-fixed by HH, will say seems HH pulls about 70% of log weight (or more), subsequent choked/running eye is just cleanup of extra weight and keeps pressure on pre-fixed HH.
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To me Sheepshank more ornamental and classical than functional; outside these lessons.
To stash up to 2x rope length i might run mainline to bight and come back to main with Cow or 2
>>even transition from Cow to Cow and to next step ProGrip/Blakes are ALL opposing transitions,
>>even start to go for Cow look/opposing into ProGrip but 'change mind' and do Blakes from there.
for small stuff i usually finish with tuck under 1st turn, over 2nd, tuck under 3rd for neater tail i think.
>>stiff cord i go with 5 turn ProGrip a/n. HHs of Cows can be omitted, the do give extra grip especially if going to do actual pull and not neatness stash; but mainly for neatness most days with this
>>OH, fig8, a/n to finish bight.
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3x length stashing, i make smaller cord Prusic to have adjustable Trucker's effect
>>can give series of HHs, i prefer string of opposers, as to me seems straighter Cow bar, gives straighter, cleaner rope fall
>>again HH pre-fixes can be omitted but do take force transfer off Prusic more in this more Bellringer part of the build when used for pulling or other full form loading.