Given that this feature would have to be real-time and robust, and given what we know about how AI inference works, I think we can assume that the mechanism will be running locally on the car.
Otherwise you'd be able to drive drunk when out of cellphone range, drive drunk by messing with your car's antenna, drive drunk during system downtime, etc.
It seems plausible that car manufacturers will keep "kill-switch triggered" events local, if only because it's a huge liability, or because of the sentiment behind articles like these.
I think the more interesting question here is a discussion about the public policy tradeoffs of a local-only drunk driving kill-switch.
Cons: lack of user control over their own software and hardware, a slippery slope, cars will be self-driving on a roughly similar timeline anyway, and false-positive edge cases, like someone having a medical emergency getting blocked for driving weird on the way to the hospital.
Pros: 100s of lives saved in the first years, ~100,000s lives saved globally after full global saturation, a reduction in the need for drunk driving enforcement (which itself is extremely totalitarian, with traffic stops, checkpoints, court fees, jail time, suspended licenses, manslaughter convictions, lost jobs, etc.)
I lean against on software freedom principles alone, but it's an interesting decision space, because it's easy to limit specific harms and there is a lot to be gained, even in pure liberty terms. A world where someone who blacked out wakes up with a manslaughter or murder charge does not feel entirely free or fair either, since the conscious action they took was "drink until lose control of drinking." Many of us would rather get pulled over by their car than by a cop, I suspect.