I am afraid I have to return to the subject, because something I keep saying for a looong time now is not heard, evidently.
The rat-tail stopper ( and the "ww hitch", as I have named this knot, -with a minor addition/modification by me - when I was not aware of its existence),
is symmetric in relation to the two segments/legs of the rope that are encircling the main line, while crossing each other at the same time ( at 8 or 10 points) .That means, that each segment /leg goes over and then goes under the other, in succession, so the distribution of loads is as even as possible. First the one coil presses the other and force it to "bite" the main line, then the order is reversed, and so on. We had an argument about this with SS369, and we have not reached any conclusion, but we have pinpointed the difference clearly ( and I have reported this argument in this thread).
The "Dog and Tail" hitch presented in Dave Merchant s ( wonderful ! ) book "Life on a line " , is not like this. The one segment/leg of the hitch tied by the attached line around the main line, is always over the other - so , at the crossing points, there is always one and the same leg that does the job of pressing the other, and always one and the same leg that bites hard into the main line s body.This is just as in the original SS hitch, which made me think about the "ww hitch" at the first place.
Is it of such importance I think it is ? I can not be sure, but my understanding of the "ww mechanism", and my preliminary tests persuaded me that it is, indeed. The main line remains more aligned with the axis of the hitch, if each leg plays both roles, the one after the other. And this axial, even distribution of forces is very important to the total gripping power of the hitch.
The second - obvious - thing about the D&T hitch is that it is reversed, in relation to the rat-tail stopper ( and the ww hitch ). I am not sure that this is irelevant or rrelevant to the final result - but, not having the possibility of an additional nipping ending/closure, the D&T hitch is condemned to be longer, for the same overall gripping power, than a rat-tail stopper, that is for sure.
See the attached picture of the D & T hitch, as presented in the Dave Merchant's e-book (2nd edition), "Life on a Line" .
P.S. Does those differences prove that the mechanism of the rat-tail stopper was not known to the climbers ? Nooo...

On the contrary, they prove that the climbers knew about the essence of the mechanism, but they have not explored it much, because they have all those climbing friction hitches at their quivers. The sailors knew better, perhaps because the had fewer possibilities, or they do not know so much as the climbers do ...

( exactly as it had happened with me. )