IMHO, it is all about the math and for me it doesn't add up.
If you travel a lot and stay at places the give a good AAA discount, it can pay. At the hotel that we like in San Juan it can pay in one stay, but last time got it much cheaper on Priceline so

. In my experience, they ask to see the card at check in, so have booked, told them I have AAA, then renewed the AAA. They don't examine the card, so have gotten the discount on an expired card.

If you drive unreliable transportation, often need to be rescued, it can pay. In the years that I have had AAA have never used it, pretty good at self rescue. Tow service charge is negotiable, especially if you use smaller companies and are flexible on schedule, can get some pretty good deals, don't call the biggest add in the book/google. Plus there are a bunch of trailers in this group.
For what I have paid to AAA could have paid for a couple of long tows. Between negotiating tow price and insurance coverage (often only covers part of what I want) I don't see the AAA need for my use.