The IAFF? What was their proposal
When it was announced that there would be a contract for Gulf coast disaster response, Gary Ludwig published a piece how it shouldn't go to a private company but cited that the US fire service had an "army" ready to respond.
It detailed a joint response like used in wildland fires, but his "plan" was so pathetically inadequete and unrealistic to disaster response that it destroyed any credibility he or the fire service might have had. (I doubt apart from providing specialty teams to a larger agency, their policy level plans will ever get serious consideration again, it really made them look like an unitelligent gang who had no idea what they were dealing with.)
It did not take into account the logistical complications of multiple agency responses.
It did not take into account who would provide medical oversight. (Can you imagine what would happen in a disaster if different providers with different training could do whatever they wanted or normally did?)
The whole plan was based upong mobilizing a fleet of ambulances to transport emergency victims out of the disaster zone and to hospitals outside. (which is not only done, but the nature of disaster response requires prolonged on scene treatment as well as healthcare post disaster from conditions that result.) There are not enough hospitals in the world for something like that. Much less ambulances to drive everyone to one.