I am buying it (paying an extra £20,000) for the badge - I want the badge; I am paying for the badge. Surely you don't believe that the extra cost of every part of this car, is pound for pound, delivered in superior engineering, superior materials, superior quality. I and all of you are paying for the badge and I am happy to admit that. Whilst I am happy to pay for the prestige of a Porsche badge I did expect that it would come with better 'customer service'.
My (poor) experience (customer service experience) is small/petty/trivial compared with the OP. In the case of the OP (taking aside the complicating lease questions) I would expect Porsche to replace the defective car with a new one, take the defective car back to Germany and do whatever it took to discover the fault to be sure that it wasn't a design fault because this is Porsche, a company who's core values are about superior engineering and I would expect them to be mortified by the possibility that they had a fault that remains uncorrected. For the extra money, that is the type of Customer Service I expect.