The problem is that as cars get better and better at doing this - it's going to become almost impossible NOT to fall asleep (or at least zone-out to the point of total inattentiveness to the road). If we can't make these systems sufficiently foolproof to allow people to do that - then we're going to cause accidents that wouldn't have happened had the car not had those safety features. The trick here is to build only those safety features that save more lives than they cost. As a society, we're going to have to accept that "Driver-fell-asleep and car-AI-hit-truck" accidents will increase - but "Reckless driver ends up in the wrong lane" accidents will decrease - and that the net result is an overall improvement in road safety.
The problem with that is that as a society, we're TERRIBLE at statistics. People are frightened of flying in planes - even though they are vastly more likely to be killed in a 30 minute drive to the airport than on the 8 hour flight they take when they get there. People will go to any lengths to prevent terrorists from killing a dozen people per year - but refuse to drive at the speed limit, causing hundreds of thousands of deaths per year. People switch to LED lightbulbs in their homes in an effort to stave off global warming - not understanding that removing 10% of the beef from their diet would have a much bigger effect.
Given that mindset - I suspect that as the number of prominent AI-induced car wrecks (inevitably) increases - public outrage will take over without anyone understanding that human-induced car wrecks are going down more steeply.
Tesla are trying to buck that trend with this press release - which is probably a wise and necessary "big picture" thing to do - but statistically, what they're saying is clearly bunkum.