Bloody hell, that is crazy money.
You can find a pair of powerfold mirrors for £300ish, cheaper if you are lucky, you will use your original covers.
The module in the door has/should have all the correct wiring going to it.
It is not a massive job to fit them, allow an hour a side you will be well in, especially on the 2nd side.
Get the CCF changed (the man in post #20 might be able to help

) and away you go for considerably less than £800.
For a source of mirrors try Eurojag Ltd
Eurojag Limited, the world's number one new and used parts specialist for Jaguar cars or vehicles, ready to offer you genuine Jaguar Land Rover components and the support of Eurojag's renowned world-class service. www.eurojag.com
www.eurojag.com
Edited to add:-
They currently have a pair of heated powerfold mirrors for £240 (1/11/24)