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In ’Swap Chess’ (inner, Outer or Any) a 'swap move' is just a new type of valid move the player can make, in addition to the other types of moves allowed by FIDE’s Chess rules. Any rules that apply to pieces only when they have never been moved before, apply to pieces that have never been ‘swapped’ before as well, since a ‘swap move’ is just another type of valid move in ‘Swap Chess’.

In the case of the pawn promotions, we should consider a 'swap move' as just another type of move that allows the pawn to change its position. A promotion should be done in exactly same way as it is done in FIDE's Chess: Swapping a pawn with an 'Outer' piece. So, it would be posible to swap a pawn to place it in the last rank of the board and then promote the pawn. How the pawn reaches a position after a regular move or a ‘swap move’ is not relevant for the promotion to be posible.

Capturing a piece resulting from a promotion works the same way as in FIDE’s Chess, the piece captured due to the promotion becomes an ‘Outer’ piece.

I can add a clarification note (or another rule) stating that in these variants a 'swap move' is just a new type of valid move that only allows the player to change the position and/or the space (Inner, Outer, Any) of the pieces involved in the swap and that pawn promotions can also follow a pawn 'swap move'.

As the author of these variants, I still prefer to keep the three separate submissions, for the reasons provided in my previous comments. However, I can make all the necessary changes and adjustments to each variant description individually, to make their rules easier to understand.