That's unfortunate Carole - but a typical case of the "little guy" against the "machine". Personally, I don't think you'll be missing very much by not using Pirelli again - never been a fan. I've just returned to my favourite - Michelin. I've just put a pair on the rear of our estate (not a Jag ) and I'm very pleased with them. When it comes time to change on the XKR, I'll be going with Michelin this time.
Just a thought - have you thought about contacting the motoring press with details of your experience. They may be able to "persuade" the "machine" to re-consider its treatment of your good self. It could also benefit the public in general and alert them to the poor response they are likely to receive if they encounter any problems. I'd suggest something like Auto Express, Car Mechanics, Jaguar World etc - there shouldn't be any cost to yourself - just a little time to email - worth a thought.