If for example a white bishop captures a black rook, then white looses 3 points (his bishop), while black lost a rook, but gained a bishop (5-3 = 2). So assuming the value of the pieces are the same in this variant as in classical chess this would be a bad trade for white.
Other than the knight/bishop capture rook cases though I believe you are correct.
I found it on Wikipedia. The variant just confuses me. The strategies that used to work in normal chess don't work well in Andernach Chess. The rules are the same except:
Pieces change color when capturing an opponent piece.
Some moves that used to be legal become illegal because of the move above. And hanging pieces become traps in this variant. The best strategy here is to capture pieces which only have a piece value higher than the capturing piece. Example:
Pawn eats Queen
Bishop eats Rook
Knight eats Queen
Pawn eats Knight
Knight eats Rook
That's all I have to say.