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Piece values will be more elastic in Shogi than in FIDE Chess--there will be more positions in which a Bishop is stronger than a Rook, for example. But Shogi piece values do exist. Try this thought experiment: Give one player both Bishops and both Rooks and the other player four Lances. The player starting with the Rooks and Bishops will win every game (assuming that there is not a gross disparity in skill). This must mean that Rooks and Bishops are more valuable than Lances--and if there is a difference, it is possible in principle to quantify it. 'The Value of Shogi Pieces' is simply a tougher problem than (the ridiculously difficult problem) 'The Value of Chess Pieces' and the answers will have a higher level of uncertainty.