Yes, LAFD has equipment capable of operating on 39.06. However, I know of no reason why they would when they have (and use) the 33 MHz channels they are licensed for.
Don
In some jurisdictions low band frequencies have been retained as point to point disaster frequencies. The use of them would be in case VHF High, UHF, or 700/800 systems fail in a large disaster. For example if the entire electrical grid shut down a very large and significant disaster and the backup power (typically powered by propane generators or diesel in some cases) fails after running out of fuel. Low band radios are maintained at dispatch centers and stations. I presume the plan is that information is passed along to the various stations and officers/firefighters/EMTs are then verbally sent to incidents. The likely scenario would be a plus 8 earthquake in southern California. Of course these low band radios also need backup power but are presumably easier to maintain than remote sites in such a disaster.
I'm not sure if this is done anymore. It has been more than ten years since I retired and was able to have access to emergency and comm plans. In the mid 80's there was a resurgence of jurisdictions installing HF equipment for the same reasons. When I worked on the Bridgeport Ranger District of the Toiyabe National Forest in the eastern Sierra from 1981-1988, a new comm system was installed. It used a microwave backbone instead of the old UHF backbone. This microwave system also had phone circuits allowing us to bring up a Reno dial tone without using the phone company circuits, which in this case required the conversation to travel south to the Mojave area, over Tehachapi Pass, up the Central Valley, over Donner Pass and into Reno. There is not a direct link north out of Bridgeport. However, this microwave backbone relied on three mountaintop sites to make this possible. As a result HF stations were installed in the Toiyabe's dispatch center in Minden, the Western Great Basin Geographical Area Coordination Center and the regional office in Ogden. The radios looked like military equipment, with all sorts of dials and other complexities I've not seen before or since.
Caltrans has a similar HF setup to link all the district offices with each other and their HQ in Sacramento. Note that Cal Fire has a fire chief's net on low band. I believe it includes mobile installations in a limited number of vehicles as well. I don't have any idea of how and when it is used or why it was built.
In some old frequency lists for the city of L.A. I used to have a low band system such as I described was shown as "city management disaster net." I think I remember some mentioning in the 90's that it was tested once per week or once per month.
Some states have retained parts of their old low band systems to link cities and towns with dispatch centers and the capital cities.
Now that I have explained all of this I have to say I have no idea if this is the case in the city of L.A. If the licenses include division stations and some fire stations (perhaps those with division and battalion chiefs) then this type of disaster net is possible.
It is interesting that even with satellite phones becoming more commonplace these HF systems are still maintained. The phrase "if all else fails ham radio still gets through" or some such is really a statement about HF.
