Sorry that happened to you. We have not to my memory encountered a poor service call from AAA.
They saved my a_s in Cleveland when I was due to present at a conference and had a flat tire at a hotel. They took care of it while I ran off in an uber and then texted me with completed photo when they were done.
When my husbands alternator (?) went bad driving home from my daughters rehearsal dinner out of town they came at 11:30pm to check it and tow it on Friday night and had it back in our hands (we had planned to use his vehicle to transport the bride) by 11:30am and the service shop even did a quick car wash on it since they knew our situation.