IMHO:
Fair wear and tear of the tyres is part of the general cost of running a car.
Abnormal wear of the tyres which is a direct consequence of the failure of a component covered by warranty isn't.
I still don't think it's reasonable to expect new tyres. Depending on the mileage you've done on the old & supposedly now worn out ones, you might try asking for a contribution, though I'd be pleasantly surprised if you got anything meaningful.
I once recall a case where a new set of fronts was scrubbed to the wires on the outside edge after less than 1000 miles, due to a dealer fitting a new rack & failing to set the alignment afterwards. IIRC after much argument the dealer paid the cost of the tracking & replacement tyres.
This is a good opportunity to say that it's well worth examining your tyres from time to time & getting the tracking checked soonest if you notice they are wearing unevenly. Especially on a new car as it's surprising how many are out, often by a considerable margin.
And as it's forecast to be warm & sunny this week for most of the UK, why not do it now?
Just off to check mine...
