"Last time I checked the public statistics, it's actually already doing that."
Tesla's stats on this are incredibly deceptive.
Firstly, the only place where Tesla drivers engage autopilot is on highways. The accident rate on highways is dramatically lower than city streets and aren't separated out, yet Tesla compares their autopilot numbers of that overall number. Highway driving is the baby first steps of self driving.
Secondly, Tesla drivers already are significantly less likely to be in accidents minus any of the aids. 1 accident per 1.82 million miles for Tesla drivers, versus 1 accident per 479,000 miles for the average vehicle. Again, this is with zero of the assists or safety aids in the Tesla. This is courtesy, presumably, of newer cars (older vehicles are in far more accidents) and perhaps a more enthusiast owner who is more attuned to the world.
Elon Musk has been pitching full self driving for years, increasingly trying to get buyers to pay for a product they aren't actually getting. And I'm sure Elon is looking at the progress and thinking "wow, we're at 95%...only the last little bit left", but in realms like this that last 5% takes 5000% of the time and effort.