The video emphasized that "the person in the driver's seat is only there for legal reasons. He is not doing anything. The car is driving itself." Musk also pointed out that "when searching for parking, the car reads the signs to see if it is allowed to park there, which is why it skipped the disabled spot."
The car moves smartly, almost aggressively as it navigates to its destination. While parking, a pedestrian suddenly appears, and the car detects him and stops. It did appear to make a couple of small gaffes -- it turned into the exit lane when it entered the parking, at around 2:20, and missed lane boundaries when turning in the lot at 3:03. The car park lacked proper markings, though, to be fair.
Musk tweeted that "when you want your car to return, tap Summon on the phone. It will eventually find you even if you are on the other side of the country." We think that's a reference to the unplanned trip Jared took in Silicon Valley -- a public vision of self-driving cars that Musk is clearly hoping to supplant with the new video.