Many, many years ago I used to play indoor cricket with a suburban firie based close to Sydney airport. At the time he said it was not unusual to be put on 'standby' for dispatch to the airport if an aircraft had reported difficulties. He also added that part of their training at the time was aviation incident related although not terribly specific. I wonder if non-aviation fire services may be deployed or made more readily available in some locations.
I do recall that local firestations around airports that may have to deal with aircraft are given extra training in such. That's the local fire stations not airport based RFF which would specialise entirely in aviation based fire fighting. Country firestations away from major airports probably don't train at all for aviation style rescue, probably just arrive and dump retardant on the wreck until its out and save anyone in the area that's still moving. I had a few interactions with RFF from local stations that got themselves into some dangerous positions while assisting, had to tell them to move away from situations they were not aware of.