Since I dodged all those bullets, I can’t say for certain whether the billets on my slate were supposed to be with Army or Joint units (I don’t remember). Although it was not uncommon (in fact, more common than not) circa 2010 for IAs from my community to be assigned to Army units. It was a major source of frustration within the community, actually, because being assigned to an Army unit meant not being eligible for the 3 for 1 joint tour credit (or any joint credit at all) one might otherwise have gotten (the 3 for 1 was for serving in a joint unit in a combat zone).
The really crazy thing is that, although I was part of Iraq Training and Advisory Mission-Navy, we were technically under the Deputy Commanding General For Advisory and Training for US Forces, Iraq. A joint command. Which means that even though I did Navy work with Navy people… I of all people got the 3 for 1 joint credit (and a joint unit citation, and a joint end of tour award). It’s almost a shame I didn’t stay in long enough for it to matter… Almost.