During my 27 years "on-the-job" with 14 of it working the traffic unit I dealt with many motorist who had AAA, new car roadside breakdown, or auto insurance wherein these types of issues were covered, I found that many times the businesses who were lined up to respond just did not have any personnel available to do so. It was frustrating at times but I did not blame the service although it was a huge inconvenience to the family on the side of the road. For example, in times of inclement weather or on major holidays when there were many people on the road, we would get backed up on accidents and had to prioritize based on the severity of the accident or danger to other drivers. Sometimes, there is just nobody able to respond in a timely manner. I truly understand the frustration of the OP, but I also understand that resources are stretched pretty thin at times.