Which airports are you hearing this at?
Oops you said Visalia FD, so it's Visalia Municipal Airport (KVIS). Sorry!
Visalia Muni is served by Great Lakes Aviation Ltd (phonetic call sign "Lakes Air") which operates several Part 121 (meaning scheduled) Beech 1900 passenger flights to the airport from Ontario Int'l (KONT) and Merced Muni (KMCE) each day. As for Part 135 (meaning on demand) air cargo, Westair Industries Inc (phonetic call sign "Pac Valley") flies Cessna 208 Caravans painted in FedEx colors in and out from Fresno Int'l (KFAT), Oakland Int'l (KOAK) and other destinations. Ameriflight ("Amflight") flies Piper PA-31 Navajos and Beech 99s in from destinations around California (namely OAK, FAT, ONT, BFL, etc).
FlightAware > Live Flight Tracker > Visalia Muni Airport (Visalia, CA) [KVIS/VIS]
Interestingly, whenever the local commercial flight or an airtanker (this is an USFS tanker base) is arriving/departing, an ARFF unit is required to be availiable at the field. If the station crew is on the structure rig and on another call away from the field, another station is toned out to standby. The engine is expected to move up to the airport station, and is not dispatched on another call until the standby is cleared.
This is what I'm inclined to believe is going on. The passenger flight would be operated scheduled Part 121, while I believe the USFS air tanker would be operated Part 135 "on-demand" (if anyone knows for sure correct me if I'm wrong and it's just regular Part 91). In the case of Visalia, the Beech 1900, Beech 99 and Cessna 208 are all relatively large turboprop aircraft.
A turboprop engine is literally a small jet engine burning regular jet fuel, hooked up through a mechanical gear box to turn a propeller. Thus, while they're very safe and reliable engines they're occasionally prone to some common emergencies associated with jet engines such as "hot starts" (runaway EGT) and engine fires and such, as well as emergencies all complex high performance aircraft are prone to such as brake fires, gear up landings, etc. With private and corporate aircraft being operated Part 91 I believe the ARFF requirements are pretty relaxed - placing evacuation responsibilities on the crew to allow the aircraft to be operated into a wide range of unattended airports at any hour.
Obviously dispatching a fire engine to every single airport (without an ARFF station) any time a private aircraft lands or departs from there would be extremely costly on funds and staffing and thus will simply never happen.
Once operations become scheduled and a certain threshold of passengers is exceeded the regulations become much more stringent, including the regulations regarding on hand ARFF equipment and personnel. I could imagine the rationale being more passengers = longer evacuation time = more serious emergency and increased likely-hood for fatalities. I imagine this is the case for Part 121, and possibly the 135 guys (although they're flying freight not scheduled passenger service).
If you catch any callsigns, let us know if you hear "Lakes Air", "Pac Valley" or "Amflight." If instead you hear standard registration numbers of private planes or any "Alert" codes, then that theory goes out the window. However, I think radioprescott's above evaluation of what is involved in the flight standby is correct. It sounds like it is simply a precautionary measure being taken to satisfy FAA regulations regarding the operation of scheduled air carrier aircraft out of an airport as small as Visalia.
Interesting discussion!
Inigo