Fiat service - latest information
Glyn Watkins have offered me a full refund; I'll send them the non-working key.
Fiat say that this resolves the issue. "Not quite", I told them, "I've wasted a lot of time and effort to get precisely nowhere, and it appears to be a Fiat problem. I'd like compensation."
They offered me a £100 voucher, which I accepted; it'll go towards the new spare key which I'll get from Thames Motor ... I hope.
When the voucher doesn't arrive , I'll spend more time chasing that.