I’ve used them a few times. Never had a problem. Broke down in France once and they were superb, car taken to a garage, taxi to hotel, hotel paid for and a hire car until mine was fixed. Turned out it was only the fan belt, but I broke down late on a Saturday morning, so it was Monday before it was fixed.
In the early 80s, I worked two summer seasons in the AA offices in Boulogne-sur-Mer. Great fun. It was actually a franchise operation, run by M. Gregson, an ex-pat. The tool kit consisted of a wall of telephone directories and yellow pages, one for every department in France. The call came in, we took a number we could call back on, usually a bar or café, out came the relevant directory and then we rang round the garages until we found one that could do the job. Hotel fixed as necessary, again using the directories.
The other part of the job was sending on the spare parts. Sometimes even parts for european-made cars had to come from England via the Dover office. A French Renault clutch cable wouldn't fit a right-hand drive model. We met the ferry in the firm's clapped out 2CV van, checked the parts over and then took them down to station to send them off via SERNAM, the railway parcel service, equivalent of BR Red Star.
For other bits of Europe, we passed it on to our German partner, the ADAC, but we still had the odd die-hard preferring to call us. We had one Aussie who was doing a European tour in a VW Bully ring us from somewhere different about once a week with yet another problem. We had a little pinflag on the wall map to chart his progress ! Last know heading to northern Norway !
Since 2003 I've been a "Plus" member of the ADAC. 79€ a year gave me full european breakdown and recovery, including the UK, car hire, medical cover and emergency helicopter repatriation in case of a medical emergency (though I never did find out whether that would have been to here or Germany!). Unfortunately, Brexit has put paid to that, so for the first time in ages, I'm going to need to look for european breakdown cover. My new NFU car insurance gives me basic AA cover in the UK.