H. G. Muller wrote on Sat, Feb 1, 2020 10:39 PM UTC:
It seems pretty obvious that this piece should be far stronger than an ordinary Bishop. Even the "chiral half" of it (which only has the moves that start with a turn in the same relative direction) has on average more moves than an ordinary Bishop; on non-edge squares it in fact has the same number of moves as a Rook. With both the left-handed and the right-handed moves it doesn't really have double the number of moves, as half of the moves overlap. But even then being able to go there along two paths must be worth something extra beyond having just a single way to get there. (There is no compensation for the fact that the left-handed and right-handed moves overlap on the F-squares, though, as these moves were unblockable anyway.)
It seems pretty obvious that this piece should be far stronger than an ordinary Bishop. Even the "chiral half" of it (which only has the moves that start with a turn in the same relative direction) has on average more moves than an ordinary Bishop; on non-edge squares it in fact has the same number of moves as a Rook. With both the left-handed and the right-handed moves it doesn't really have double the number of moves, as half of the moves overlap. But even then being able to go there along two paths must be worth something extra beyond having just a single way to get there. (There is no compensation for the fact that the left-handed and right-handed moves overlap on the F-squares, though, as these moves were unblockable anyway.)