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I have attempted to analyze this piece using Zillions, but the program values it almost as much as a Queen, neglecting the fact that it can't capture. Thus, a human player can win either side easily. Rook vs. Ghost seems like it should be a draw with perfect play, but I have managed to win with it.
On subject lately of switching, swapping and Betza's Wand One of Teleportation, RBetza's Black Ghost(1996) introduces a weak teleporting piece here. To balance the first-move advantage for White is the object. There are GC Presets for Black Ghost because we played one. Black Ghost is a disrupter able to make two-move sequences unexpectedly out of straightforward attack. As boards now go to 8x10 and 10x10(9x9,9x10,12x12) primarily larger, it may be interesting to give Black Ghost more power. In 1990's Betza had serious reforms for standard 8x8 like this, whereas by 2001-2003 his style was more free-form, fanciful, and sarcastic. How weak can a piece get? Weaker, because as Jeremy Good has started to catalogue, there are pieces of negative value. This Comment leads into pieces of negative value because Betza himself has some. Besides, there are other very weak pieces in Betza we may take up first.
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