If the machine is less than 2 years old (and you are in eruope) just return it as defect.
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However, this would be a great way of separating hardware and software products - and would that be so bad?
With regards to your last sentence, I think a good first step would be to require at least security and other critical updates to be provided within the full warranty period. And this would make sense even without the (limited) warranty extension, and I actually consider it more important.
yes, of course. it may be hard to distinguish though. the device getting hot may create additional stress on the mainboard or RAM or other parts causing it to break faster.