Well, they should if they provided you with the hardware and you got the software from someone else. But that's the other problem: They prevent you from doing that, and then if their software is crap or they decide to turn off the servers, what do you do?
Watch for some carmaker to try to say that the car only had a 10 year warranty and then brick them by turning off some servers after they're over 10 years old, or just go out of business with the same result. It's a travesty that people even put up with that for electronics.
In this case, it appears somehow that an infotainment system update impacted the drivetrain. In my fully "fly by wire" computerized vehicle from 1999 (M-B E300), even if it somehow could receive OTA updates, these systems are physically separate. The ABS system is a different module from the transmission controller, which is different from the engine controller. They all communicate over CAN, but the only way one could crash another is if somehow it responds poorly to incorrect CAN messages.. And even if these computers crash the mechanical components they control will probably keep working more or less.. What has happened in the intervening quarter century that made it possible for this failure to happen?
OTA software updates should be a convenience, not a requirement, never be automatic, and be otherwise treated just like a visit to a car repair shop.
Similarly, no manufacturer should be able to tell you "oh, but it's a software problem" if your thing doesn't work as expected (I had Apple tell me this, for example).