I just tested it.
It is indeed exactly what I suggested in the ‘Salamander algorithm’. 
As you mentioned, the only difference is that the choice between Solution 1 & 2 (see here for details) is automatically done by the game instead of the player.
After checking, it seems that this choice is performed so that the longest wall section is on the side of the wall starting tile.
But, I am still very happy to see it implemented in the game. Thank you to the developers and to all the positive inputs from you guys on the forum ! 