The thing that troubles me most about this is simply that someone, anyone, is suing a first responder for the way they did their job in a pretty hazardous situation, and especially in a situation where they were not injured but simply had to wait too long. There are legal immunities for police and firefighters so that you essentially can't sue them for police or firefighting "malpractice", simply complaining that they should have done their job "better".
If they injure you through out and out negligence, that's different, but suing because they weren't working fast enough, especially in this situation, seems pretty specious to me.