Cars today are built to a much higher standard compared to ones build in the 60's. There is no reason why a modern car wouldn't last long enough. An E-Type probably wasn't the best example as they had a tendency to massively overheat.
What I worry about is whether the complex/electrical parts for modern cars will still be available in 10-20 years. These sorts of parts do and will break, but will they still be available to buy? I wouldn't be surprised to find that car manfacturers stop making the parts and 3rd parties find them too complex to make themselves.
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