personally i think thats a good idea, and although its "just a name" it would probably assist other agencies in having a better idea of resources attending an incident and where they are coming from.
for example, Sturt SES... there is a suburb called sturt, however the unit is actually based in coromandel valley, about 7kms away (yes i know they have an appliance at Sturt SAPOL however this is not where there unit is "based")