The so-called 'Cossack knot' can also be regarded as an 'anti-Bowline'.
There are actually 4 different versions of the anti-Bowline.
Tail manoeuvres in an 'anti-Bowline' all go in a general opposite direction relative to a simple (#1010) Bowline - hence the 'anti' moniker.
As with the simple (#1010) Bowline, the nipping loop is the key functional element.
All loops have chirality - which can either be S or Z twist.
Therefore, all Bowlines and anti-Bowlines can be tied with either S or Z twist.
In 'ABoK' - Ashley has a tendency to illustrate 'Bowlines' with a Z twist nipping loop. This leads me to speculate that he was right handed...
In your bottom photo presentation - you have tied this anti-Bowline with Z (right) chirality.
It is also possible to reverse the orientation of the tail - which gives rise to the 4 possible variations of the anti-Bowline.
I note that you have a tendency to avoid showing the tail in many of your photos.
I am not sure why you choose to do this?