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I believe the Minister in Ajax Orthodox is somewhat different from the
pasha and its later incarnations in that the usual piece allows capture on
all 16 squares to which it moves, and if I'm reading the rules right, the
Ajax Minister may only capture on the 8 adjacent squares, not the 8 it
leaps to over the adjacent squares. It's a logical and beautiful piece,
but I don't see it as a complement to the knight in its usual form, where
it captures on 16 squares to the knight's 8. However, the Ajax piece would
be considerably weakened by its limited attack capacity, making it at most
a fraction of a pawn higher in value than the knight. There is a related
discussion in the comments at the bottom here: 
http://chessvariants.wikidot.com/attack-fraction 
It includes a small chart by Graeme Neatham discussing the effects on the
value of pieces that move like kings and capture like queens to those which
move like queens and capture like kings. Basically he found a distance move
with only adjacent capture is worth about half a local move with distant
capture.