I used to until I thought about it.
If there is a danger that the donor battery won't subsequently start the donor car, it is probably not a good battery and therefore its internal resistance might not prevent the donor alternator from looking at a very high current in the starting circuit. When starting the donor car the alternator is not functioning but it is once the engine is running and having to replenish a battery which is supplying normal loads such as lighting, fans, wipers etc. but it is not expecting a drain of hundreds of amps, as created by starting another car.
If I know I have a good donor battery, I will start another car with the engine off. If I suspect that my donor battery is borderline I will give both a good charge before trying.
What I sometimes do, on the driveway, is take an extra battery from indoors and parallel it with the donor using more jump leads. Use the best set of leads, with the most aggressive clips, between the two vehicles.
I can understand the AA not wanting to come out to two flat batteries, one of whom is not a member, but should they recommend a procedure that might damage a donor alternator if the donor battery isn't really up to the task and the recipient requires a lot of cranking?
Starting a small car from a Bongo which has a good battery and has just been running is one thing. Starting a cold Bongo from a small car can be something else.
Frank