Single Comment

I believe you have reinvented the dababba-rider, also known as skip-rook.  Betza discusses that piece in Ideal and Practical Values part 3, and uses it as a building block in his Avian Airforce army in the same article.

I think your estimate of its value at 3 pawns is almost certainly too high, though.  Using Betza magic number 0.7, DD has about 60% of the crowded-board mobility of R, but it loses the King-interdiction power and can reach only 1/4 of the squares on the board.  Betza's 'Wader' adds Wazir move, which removes colorboundness and adds mating potential, but he still estimates it as weaker than a Rook, whereas he estimates NW as equal, suggesting DD alone would be substantially weaker than N.

I'm also curious where your valuation of the Amazon comes from, though it seems vaguely plausible.

I must say, though, I think these 'different armies' that have more pieces in common with FIDE than they have different are a bit silly.  It seems to me not so much a new army as just a single new piece.  If we're not going to try to have themes or account for value-modifiers to specific combinations of pieces, then creating a new army is as simple as using point-buy rule, and thousands could easily be created by simple enumeration.  To be worth naming and discussing, I think an army ought to have a cohesive theme and some serious thinking done about how its components interact.