I think this is unlikely. I have never seen the Edo-era description of Tenjiku Shogi, but I do know how such descriptions looked in general. They basically showed a drawing of the initial position, where each square contained a drawing of the way the piece moved, with the kanji of the piece name in the center. Sliding moves would just be radial lines, and it would be immediately clear whether the Lion Hawk also had orthogonal slides.
Only complex moves, such as the Lion, would not be obvious from the drawing, and would be described by an additional line of text. I once have seen the picture for the Teaching King (a piece from Maka Dai Dai Shogi); it had lines in 8 directions, each with 3 perpendicular line segments crossing it for indicating the multi-captures of teh Lion Dog. (And the text line then said it would move like Queen or Lion Dog.)
I think this is unlikely. I have never seen the Edo-era description of Tenjiku Shogi, but I do know how such descriptions looked in general. They basically showed a drawing of the initial position, where each square contained a drawing of the way the piece moved, with the kanji of the piece name in the center. Sliding moves would just be radial lines, and it would be immediately clear whether the Lion Hawk also had orthogonal slides.
Only complex moves, such as the Lion, would not be obvious from the drawing, and would be described by an additional line of text. I once have seen the picture for the Teaching King (a piece from Maka Dai Dai Shogi); it had lines in 8 directions, each with 3 perpendicular line segments crossing it for indicating the multi-captures of teh Lion Dog. (And the text line then said it would move like Queen or Lion Dog.)