Lying, cheating, money-grubbing bastards #2 VW

As we all know, those clever chaps at Volkswagen have duped the entire world with their baffling emissions scam so we had to take our Golf into the dealer to have it set right.

At the same time they gave it a check-up and discovered a nail in a tyre. The tyre was perfectly functional until they removed it whereupon the tyre deflated and they declared it impossible to repair.
So far, fair enough I suppose. But they then announced that, because the car has tyre-pressure sensors which only work if the tread on each tyre is the same, it would require not one but two front tyres.
The un-punctured tyre had 5mm of tread (like the punctured one) and was good for many more miles. But it would have to go because otherwise the warning light would come on, stay on and we would somehow be in breach of the warranty. Or some such cobblers.
After much argument, we submitted so we had to buy a pair of tyres and throw away a perfectly good one.
What is the point of an allegedly sophisticated system if it can't cope with something as simple as one tyre with 8mm of tread and one of 5mm. And if it's so wonderful, how come it never noticed the nail in the tyre in the first place?
This comes after VW has tried and failed on several occasions to deal with the Bluetooth phone system which means anyone speaking to the driver hears what they said echoing back to them after they have spoken. This is, apparently, standard on VW cars. So be warned.