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Besides pieces in the class that Jeremy Good mentions getting negative
value(Betza has some), like Lavieri's Promoter, the Blue Queen presents a
problem. A fairy piece invented mid-20th Century, Blue Queen (painted Blue) moves like  mad Queen, starts in center of board and belongs to whichever side is currently moving. Just as a compound gets more than sum of its parts, suppose Blue Queen is worth more than 5 not less to each side.  Gilman has more recent pieces that change sides upon crossing center line, different enought mechanism. On other note of assigning  values, M Winther repeatedly identifies bifurcation pieces as 'about Rook value', but almost all his bifurcation pieces appear to be in range 5.5, 6.0, 6.5 or even higher in most piece mixes and arrays imaginable. However, like for Cannon and Falcon we need Reinhard Scharnagel's just mentioned 'percentage of free squares on the board' to evaluate bifurcation pieces. For Falcon, I passed along to Greg Strong in 2006 an algorithm including 'number of captured pieces and Pawns', measure isomorphic with Scharnagl's.