The command structure is what determines separate forces, do the Chechen forces answer to the same command structures? I know from US coalition operations that the foreign forces answer to their own NCO/Officer Corp. Typically, through to the region level and have their own rules and regulations separate from the other nation forces, often operating from their own bases and really only coordinating at the colonel level or above.

To my understanding, the Chechen forces are barely allowed their own officers at the unit level, much less anything higher. I'm far from an expert on that, though, and may be wrong. If true, I wouldn't separate them, if false, maybe, as much as the separation of NATO forces in Afghanistan.