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Not really exactly what you were suggesting but a couple of thoughts your comments provoked. Since I'm just throwing these out on the table, I didn't bother trying to think special names for them. One is that since the rookferz and archbishop are said to be roughly equal, why not make those the two additional pieces?

My next thought was that since the bishop wazir is said to be in the same class as the rook, it could add a bit of symmetry.

Your reference to knight-guards / centaurs made me think I should add those, but I've been wondering lately: To what class do they belong? The same as rook-ferz and archbishop?

Here is a thought: Enhanced Chess

Okay, so there is more power on this board than our departure point, but it is power that is more equally distributed.