Redeye,

"Domicile" and "Foreign Duty Assignment (FDA)" are not inter-changable words.

DOMICILE
An airport or co-terminal airports, designated by the Company, to which pilots are permanently assigned. A domicile is aircraft and base specific. A pilot's base is his domicile, except for pilots assigned to an FDA or temporary vacancy.

FOREIGN DUTY ASSIGNMENT
An assignment of a pilot to a base outside the United States, or its territories, designated by the Company, for greater than 3 bid periods. A pilot holding an FDA shall be permanently domiciled in MEM.

It might be splitting hairs to you, but definitions are important to understand the EXACT picture of what your words are trying to say: ie LOA.