Look at your SOFA (Status of Forces Agreement) and/or check with the International Law Officer
for CENTCOM (or whichever command you fall under) or the Embassy, or the International Law section of the USAF JAG Office in Washington, DC. I have no idea how the bases are established in Iraq. I have to say my gut tells me that it will not be considered a qualifying location...but hopefully I am wrong.
I was stationed overseas 3x while on ACDU (twice in Philippines, once in Sicily) and this question did come up at various times...of course that now seems to have been a long, XXXXX, XXXXXe ago in a galaxy far, far, away...but my recollection is that under the initial Bases Agreement for the Philippines it WAS US territory...but after a base renegotiation, it reverted to Philippine territory.
As for enjoying "this sort of work" - I guess it mainly depends on "which" sort of work to which you refer:
1) ACDU for 25 years in the Navy
2) Private Practice; or,
3) Being an "expert" on JustAnswer.com.
1) Yes, almost all the time;
2) Yes, moreso since I no longer work for anyone but me (vice 2 law firms I was at before);
3) I just do it to "get out" in that my basic practice area is security clearance work - which I really enjoy. I do this on the side to pick up vacation money and to keep me engaged in some broader discussions than my private practice covers.
Good luck, be careful, thanks for your service.