I've always wondered if the AA would actually recover a car from a trackday or not. I presumed they wouldn't.

Just looking through there T&C's (as you do):

"the AA does not consider the following activities to be Motor Sport Events, and thus will provide service to a participating vehicle if properly requested:

(a) 'Concours d`elegance' events;
(b) Track test days for road-legal vehicles;
(c) Rallies held exclusively on open public 'highways' where participants are required to comply with all operative speed limits."

Thought that was interesting As I assumed they wouldn't recover from trackdays!

Might help someone in future