I have an Ring RTC1000 tyre pump (I also have an Ring RAC900 which is bigger and more powerful - so why a smaller number?) But I digress...
It has a wind-in cable with a cig lighter plug on it, which is REALLY hard to push in (makes a good fit). It draws 15 amps, which is a sensible limit for the socket.
After blowing one tyre up the wire is literally too hot to hold.
Not too hot to touch for a moment, but not something you'd want to hold hands with.
It has been like that for all the years I've owned it, and it continues to work just fine.
Ring seem to have chosen the ideal thickness for the wire, knowing the length and the load. And it runs hot, not warm.