Well, even though the values quoted for Omega Chess seem nothing but guesses by a single person, there is no real surprise there: sliders gain in value compared to leapers on deeper boards, because the latter need more moves to make themselves useful. On wider boards it is mainly the value of the Bishop that goes up compared to that of the Rook, because the Bishop will attack the enemy camp in two spots with its forward moves on a larger fraction of the board, rather than one of its moves going to waste by hitting the edge. A Rook doesn't benefit much from a wider board; the chances rhat it will attack anything with its sideway moves hardly changes there.
Note that the value of slow pieces in practice is very much dependent on their location, on deep boards, much nore than with 8 ranks, where a Knight can attack enemy Pawns already after a single move, and you take it for granted that this move will be made, rather than keeping it undeveloped for the entire game. From Xiangqi it is well known that Horses are much more valuable when the approac the enemy Palace, and central (promoted) Pawns even gain about 50% in moving from 6th rank to 9th. In Shogi the board is not as deep, but the pieces are slower, and Gold Generals far from the Kings are basically worth nothing at all. So I doubt that the Omega value estimate would be anywhere close for a Champion that is on 8th or 9th rank inside the enemy camp.
Well, even though the values quoted for Omega Chess seem nothing but guesses by a single person, there is no real surprise there: sliders gain in value compared to leapers on deeper boards, because the latter need more moves to make themselves useful. On wider boards it is mainly the value of the Bishop that goes up compared to that of the Rook, because the Bishop will attack the enemy camp in two spots with its forward moves on a larger fraction of the board, rather than one of its moves going to waste by hitting the edge. A Rook doesn't benefit much from a wider board; the chances rhat it will attack anything with its sideway moves hardly changes there.
Note that the value of slow pieces in practice is very much dependent on their location, on deep boards, much nore than with 8 ranks, where a Knight can attack enemy Pawns already after a single move, and you take it for granted that this move will be made, rather than keeping it undeveloped for the entire game. From Xiangqi it is well known that Horses are much more valuable when the approac the enemy Palace, and central (promoted) Pawns even gain about 50% in moving from 6th rank to 9th. In Shogi the board is not as deep, but the pieces are slower, and Gold Generals far from the Kings are basically worth nothing at all. So I doubt that the Omega value estimate would be anywhere close for a Champion that is on 8th or 9th rank inside the enemy camp.