The more I think about this the more sense pieces avoiding different cells makes. The cells that an army avoids could even be the same colour as its pieces, solving a problem of array graphics. Suxh pieces could be termed 'Camouflage-averse'. On the other hand pieces that all avoid the same cells need a term for them, to cover the triangular geometry. Any ideas, anyone?
An interesting fact: even the hex Wazbaba is colourswitching when confined to just two colours, when the square-board one is manifestly not.