There are differences; but what they are and how important they are to you will be something only you can decide. I had AAA for a while; but I then discovered that State Farm, whom I was already insured with, provides emergency road service coverage on my car for $3.84 for 6 months. With this coverage, I can call any towing service; and I have to initially pay the bill; but my State Farm agent reimburses me as soon as I submit a claim. I had a $125 towing bill not long ago; and State Farm paid it immediately, without blinking an eye.
I do know that AAA sets limits of how many calls you can have per year, and also sets a maximum distance they'll tow. State Farm also has maximum towing distance limits, but I do not use this service enough to know about any other restrictions. a phone call to an agent will easily provide answers to these questions.
I've been insured continuously with State Farm for more than 30 years; and they now give me every discount in the book. As a result; NOBODY can match their rates. I laugh every time I receive a solicitation from another insurance company.