As long as the vehicle is reasonably dependable. Sometimes an older undependable vehicle might not be worth it. (think of stranding a loved one, or dying in winter, etc)
That said, brand new cars without spares are a disturbing trend.
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).
Craigslist or Facebook marketplace. Some fool like me would be happy for a used speed queen to fix and keep forever. It's 20 items down my household Todo list but will never get done since my 20 year old top loader just keeps working.
If you're talking about old washing machines or refrigerators, you might want to consider they might not be economically viable. New versions might pay for themselves quickly in water or electricity use.
I had a friend who (years ago) bought a version 1 humvee, but it turned out to be impractical, struggling to achieve highway speeds while guzzling gas like a toilet.
As long as the vehicle is reasonably dependable. Sometimes an older undependable vehicle might not be worth it. (think of stranding a loved one, or dying in winter, etc)
That said, brand new cars without spares are a disturbing trend.