... re-tucking of the tail, in between the standing part s and the returning eye leg s first curves
If one follows this description, he would drive the (white) tail "over" the (white) returning eye leg, not "under" it, as it is shown at the first picture - and "under" it, not "over" it, as it is shown at the second. The situation is similar to the two variations ( the "under" and the "over") of each "Eskimo" bowline ( the "left hand" and the "right hand" ). Regarding the "Eskimo" bowline(s), I always prefer and tie the variations where the tail passes "under" the returning eye leg - but in this post-eye-tiable eyeknot, I am not so sure ... If we tie it as shown in the pictures, although the tail will not be squeezed "under" the returning eye leg, it will, nevertheless, be nipped by the rim of the first nipping loop - while, if we follow the verbal description ( which, theoretically, seems more reasonable, indeed ) the tail will settle in the "soft point" of the nipping loop, near its crossing point - where, been covered /"protected" by the overlying returning eye leg, it will not be squeezed and bitten by the standing part s first curve very hard. The interested reader is kindly requested to tie and load both variations, and comment about the advantages and disadvantages of each.