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H.G., after this thorough research it is clear that the Adjutant is worth 6, which
is very good. I have updated the Zillions files in which I've implemented
this piece, tweaked its value and changed the documentation:
Pioneer Chess
Pilgrim Chess
Alternative Chess
Accessory Chess
Adjutant Chess

The latter program now also contains a variant that implements the
'Orthobishop'. The Adjutant can be viewed as a combined piece:
bishop + orthobishop. The latter is probably less useful than the
Adjutant, but it could be interesting to investigate its properties. The
Orthobishop can only visit a quarter of the board squares. So I assume
its value is very low, probably only 2. So the Adjutant is 3 + 2 + 1
(surplus value) = 6. The low value of the Orthobishop means that it can
be sacrificed for two pawns, thus breaking up the position. So it could
perhaps be a useful piece in game construction, anyway. In the variant
implemented it replaces the bishops. Below I give an example of
Adjutant tactics:



1.Rxb7! Bxb7
2.Ba4+ ... forces the black king to a black square, which
means that Ab8 doesn't cover the rook on h8 anymore
2.... Kd8
3.Axh8+ ... and white has gained a pawn, whilst maintaining
the initiative.
/Mats