BULL
The wrong fire department was dispatched because they used a cell phone and the dispatcher made a mistake. This wasn't a choice, it was a tragic error. I could see your point if the fire department that had jurisdiction was correctly dispatched and they bungled the job, but that isn't the case. A mistake was made by the dispatcher and the firefighters had an obligation to at least start fighting the fire until the correct department arrived. This is a travesty.
These sort of petty boundary squabbles are common and wrong. I used to be a firefighter, and we NEVER would have stood by and watched. Mutual aid agreements are a necessity to avoid such occurrances. But even in the absence of an agreement, they should have just done the job they were mistakenly called by another authority to do and argued about it later. I'm certain the other department would have reciprocated if a call had come in when they were engaged "out of their territory".