I've had numerous warranties on past cars - the two times I needed to make a claim, and had upgraded warranties on place, both the dealer & the warranty company ducked out of any responsibility.
- a pulley on a Renault V6 failed, causing the engine's timing belt to snap.
- gearbox oil should've been changed as part of the import process; it wasn't, and the gearbox failed
So I don't bother with warranties now!
It wouldn't apply in your case Amrum, but the best value warranty I've had is the one negotiated during purchase.
I've agreed with the selling dealer that I'll take the car to an independent specialist - and I tell them which one - and agree that the selling dealer will fix any new faults found, at their own expense.
I then pay the specialist for an hour or two's labour, to inspect the car.
That's how I got Meridien Maserati to do £4-£5k's worth of work on a £12k car :-)