There's always a tipping point, but the line for "literally drag the vehicle to the scrapper" is much lower than it is for most appliances, and mainly because of residual value - even a completely dead car will have companies willing to take it off your hands for you, or even give you a few hundred for.
I knew a retired guy years ago whose speciality was fixing microwaves; any dead microwave you could find he'd get working again. They still exist, but they're nearly impossible to find unless you hear about it.
I know I'd love to find someone to offload these old SpeedQueens on (even there, a burnt out motor was $350 to replace, a brand new one was $700 or so).