Oops, I missed a character in my post... I meant to say "I think that level 3 Is a fair assumption if we assume that the car really was doing everything (implied, but not proven)" but I guess my fingers were not working at Level 5 yet <grin>.
I still think that all that was proven in the video was level 2 (other than the parking sequence, and as long as we can assume it was not totally faked) From my read of the SAE document the difference between level 2 and level 3 is that the human is doing at least one part of the dynamic driving task, which, from the SAE definitions, includes operational tasks like "the steering, braking, accelerating, monitoring the vehicle and roadway, and tactical tasks such as responding to events, determining when to change lanes, turn, use signals, etc." and the human in this case sure looked like they were monitoring the vehicle and roadway, and from other posts it did not look like navigation was enabled, meaning that they probably were also determining when to turn etc.. The human does not have to do a lot of the work, just "all remaining aspects", whatever those are.
However, as you said, without an uncut video of the drive in real time, showing him get in, tell the car where to go, and showing feet not touching the pedals as well, we really don't know either way.
To show level 4, there would have to be a point where the car asked for aid and the human driver did not respond, and the car handled it somehow. Also, to show level 4 OR 5 (to me at least), I would have had to see lots more scenarios covering more aspects of what the SAE is calling "driving modes", with much more complex and problematic cases. (which doesn't mean the car can't do those already, just that a single short film that was pretty obviously cut together doesn't prove it.)
Again, though, I am not saying that the video is "lying" or "faked" as some people in the media seem to be saying. I think it is showing autonomous driving at some level, and it is a reasonable next step from where we were and I think it shows a reasonable expectation of where we might be soon.