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Hi, Mats. I hate to preempt you, but I refer you to the 'Jumping General'
in 'Two Large Shatranj Variants'. It appears as the queen analog in Grand
Shatranj and as the royal piece in Atlantean Barroom Shatranj, both games
currently being played on this site. It does work very nicely. It even has
a new unique graphic which incorporates an elephant and a war machine,
which appears in current games. And as soon as this computer/internet
illiterate figures out how to accomplish it, the games will be available
as public presets with unique rules sets. And rather than go through
lawyers, I suggest we duel it out. After all, I can establish prior
copyright; I just need better computer skills and advertising. If Gary is
willing, I choose him as my second. And should there be an interested
party lurking, feel free to choose sides. 
Seriously, this does point out the extreme difficulty of coming up with a
genuinely new piece, especially one that is actually broadly playable.
I'd be surprised if I were the first to propose this piece. I am curious
as to how you figured its value as that of a rook. Short range jumping
pieces are apparently not well represented in popular games. Is this a
defect in the nature of short-range leapers, or just random chance that
this piece is only really represented by the knight- and alfil-types?