As you can see the board is flipped to the black side point of view and because we are looking from that point of view the king has to be on the right hand side.
...
This is up for speculation of course but it seems logical to me
Your diagram is obtained by inverting the colors of the pieces only. Yes, maybe this is what the OP means, but probably not, because this is obviously the same game as chess.
What we've been talking about is different, where it's not obvious that it is indeed still the same game as chess. It leads to bizarre looking positions despite being theoretically the same as well known openings.
EDIT: ah, maybe not. Let me amend that to "position is just rotated 180°".
Yes, there are at least 4 ways to obtain the type of positions we're talking about (from the perspective of at least one of the players):
1 and 2 are obviously the same. Getting technical, 2 and 3 are equivalent because of a theorem in geometry which says all rotations are equal to two reflections, while 3 and 4 are equivalent because of chessboard geometry.
Geometry is definitely confusing and fascinating at the same time.