Sacrifice a pawn to reorder the pieces Consider a chess variant which plays exactly (*) as chess except that the players have a special option for first move.

White can, instead of moving a pawn/knight as its first move, sacrifice any of its pawns (removing it from the board) to reorder its pieces (within the first rank).

Then, Black has almost the same option: it can reorder the pieces instead of moving a pawn/knight, but a sacrifice of a pawn is optional.

Would it be advantageous for White/Black to pursue this option instead of a regular opening move?

Which would be the best options for sacrificed pawn and permutations of pieces?

(*) For castling: if the king is between the rooks, castling follows the rules of Chess960/Fischer Random Chess. If it isn't, castling is forbidden.
A few thoughts, but as I expressed in the comment, I don't think this question will have a single good answer.

Based on general opening principles in regular chess, I would not sacrifice a central pawn, because that might reduce control on the center.

Secondly, in order to speed up development, I would sacrifice a pawn that already opens lines or diagonals for the development of rooks/bishop/queen.

Based on my experience playing Fischer random/chess960, I found positions quite convenient where the bishops are on a1, b1, g1 or h1, so that they immediately attack something once the pawns moved away.

Combining all this, one possible position could be 

8/8/8/8/8/8/PPPPPPP1/BBKRQNNR w - - 1 1


Here I go for an atack on h7, g7, and also all pieces could support any operations in the center of the board.