Thank you for your help question, my name is Steve and I am a fully qualified vehicle technician with over thirty years in the trade, hopefully I can help.
This is as you have mentioned a common problem which does only affect the right hand drive versions of the vehicle.
The winter tyres will help as the softer sidewall has more give which helps to prevent the skipping affect on the hard lock.
Many customers have not been offered the tyres and so the fact they are offering the tyres is a positive sign.
The downside is that you may still suffer excess tyre wear.
I have attached a document from the ombudsman about a case with an E53 which was upheld, this may help if you ultimately decide that the tyres are not enough to rectify the problem.
I hope this answers your question but do please feel free to ask any further details by replying to this thread
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