I think that you may well find that most motoring organisation now hold in reserve, this or a similar clause to their latest policies, or at least over the past 2/3 years. If the vehicle can be fixed local in a quick manner, then they will endeavor to do this, rather than use a vehicle transporter over great distances.
If you read your existing policy, you may well find that they also have the option to provide an onward vehicle, nights accommodation or rail fares. Perhaps best to check!.
I gave up with the AA after more than 30 years loyalty,with only 5 call-outs in that time (three of those being on the same day, for the same problem) when I found that new subscribers were getting preferential treatment. Asking about this, I was sent a rather disappointing response. Apparently long term loyalty meant very little to the AA!.