Indeed the Ajax Knight is 'potent', as the F move allows it to switch its attack from c1 to a1 in a single move (e.g. Nd3-c2). So it should be able to checkmate in combination with almost any piece.
Note that on 8x8 I never saw much effect of adding moves to a Bishop that lifted the color binding. Giving the Bishops of one player a single orthogonal non-capture step, and the other player that same move on the Knights, did not really swing the score away from 50%. If color binding is a handicap, it seems to manifest itself only for the unpaired piece, making its value less than half of that of the pair. This argues for the Knight gaining more from getting 8 moves than the Bishops gain from 4.
I also did some tests with multiple color-bound pairs (for evaluating the Color-Bound Clobberers CwDA army). The results were best explained by the theory that the intrinsic value of the pieces is half the pair value, but that you have to subtract a fixed penalty if the color bounds are not equally distributed over the two shades.
Indeed the Ajax Knight is 'potent', as the F move allows it to switch its attack from c1 to a1 in a single move (e.g. Nd3-c2). So it should be able to checkmate in combination with almost any piece.
Note that on 8x8 I never saw much effect of adding moves to a Bishop that lifted the color binding. Giving the Bishops of one player a single orthogonal non-capture step, and the other player that same move on the Knights, did not really swing the score away from 50%. If color binding is a handicap, it seems to manifest itself only for the unpaired piece, making its value less than half of that of the pair. This argues for the Knight gaining more from getting 8 moves than the Bishops gain from 4.
I also did some tests with multiple color-bound pairs (for evaluating the Color-Bound Clobberers CwDA army). The results were best explained by the theory that the intrinsic value of the pieces is half the pair value, but that you have to subtract a fixed penalty if the color bounds are not equally distributed over the two shades.