its worth noting that european breakdown isn’t the same as UK. essentially you’re buying insurance, that will pay you for the cost of getting your car home. Everythings is done by contractors (all the transport etc). there are horror stories of cars being damaged in transit and owners unable to claim costs back (as the aa don’t have coverage of the car, you have to directly try and claim from one of the 5 people who transported the car across europe, which without being able to prove which of them did the damage is impossible).
I’d go with ADAC if they use their own crews