I don't own one either, but this forum is always interesting.
DL
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Although you quote, turn your own spanners, unquote, if you have a history of your servicing and can show your have competence I'd still be inclined to send a lawyers letter to LRA showing your service history, their Service Bulletins, Jaguar recalls overseas, your low klms etc etc. as it would still fall into the category of "goods not fit for purpose".
Get the turbos cleaned and checked for damage plus other components, but at 120,000 klms you could get away with a "long motor" from a Reconditioner.
For the cost of such a letter I think its well worth a try. Show some inclination towards accepting some sort of pro rata warranty from them. They supply engine, you cover the rest, for example.
LRA would be hoping/gambling that many people don't put the hard words on them in such instances. Don't make it too easy for them!!