Minor nit but humans can't drive--certainly not safely--in all conditions. You can certainly get to a point in fog, blizzards, and even very heavy rain where you really would like to get off the road if possible. (Not always possible of course and in snow particularly, pulling off to the side of a highway isn't a great option.)
There are certainly other senses (lidar, ultrasound, radio signals) that robots could avail themselves of that would be helpful even in conditions where vision also worked.
The nice thing about LIDAR is that you can gather that depth/shape information and with sufficient calibration map the shapes in the camera image to the depths in the LIDAR image. You can do the same thing with two cameras so I'm not sure why LIDAR would be preferred here.
The stereoscopic effect is very poor on driving distances, doesn't help us that much. Primarily we use clues form the environment to gauge distances. We also have to focus our eyes to the correct distance - that also tells us how far an object is.
Primarily we have had an insane amount of training to understand our world. An understanding that a self-driving car will never achieve unless singularity happens. It might not need that, but it will need other ways to compensate for it.
The biggest problem with relying on visual data is that you get very noisy data. Poor lighting and reflective or glossy surfaces cause problems (I'm not sure what current state of the art is, it's been a few years since I looked at the research).
As far as I understand the big advantage of LIDAR is that you get nice and clean depth data and it's not so computationally expensive.
LIDAR has its advantages, like precise 3D positions under ideal conditions. However there are downsides as well. Cost is a big one, but that's becoming less of a issue over time. Another is sensitivity to rain, fog, blowing sand, etc.
A complicating factor is human driven cars will assume cars to act like they have human limitations. So higher speeds when humans can see well, and low speeds when humans can't.
Not sure Tesla's current sensors will do it, but seems like camera based systems are likely to be quite competitive with LIDAR. Maybe instead of 3 forward cameras, 6 or 8 so there's overlapping views (for stereoscopic vision), handling failures better, and allowing a narrower field of view at a higher zoom.
More range will be a huge help, that way an autonomous car can slow more gently when uncertain and drive more like a human. After all superhuman reflexes aren't much use if you get rear ended all the time.
I almost spilled my beer about to comment that a camera or two are equally if not more powerful than lidar. To me personally, Lidar feels like an incomplete solution to 3D mapping when high res images from a smartphone camera can provide so many more data points from different angles.
My thinking was vehicles should have an idea where other vehicles are without the need for comp viz. Like beacons saying "hey Im here." And we can try to calculate relative direction and distance. The vision bit should ideally come in to validate and confirm other things like road signs etc. Ideally we should add that data to mapping software andnthe car should know these things without "seeing it".
Computer vision could be making those go-stop decisions for you, much more effectively than human drivers.
Heck, imagine a "smart" parking lot that tracks its available spaces and communicates with your car. You enter the parking lot and hand over control, and the car and lot work together to park you safely in the best available space.
It does lack any spatial indicators to the driver, though. It just plays a beep, but it doesn't seem to play the beep from the side of the car the danger is in, nor does it beep louder when they're closer. Still, it works remarkably well. Reliably detects pedestrians and vehicles (even while I'm moving, which is impressive, because it doesn't go off for parked cars when I start moving).
I think it's the Dodge ParkSense, but I bought the car used so there's a possibility it's something aftermarket.
It's saved my ass a number of times. I'm in jacked-up pickup truck country, so it is often impossible for me to see pedestrians about to walk behind me because of the lifted truck, and likewise the pedestrians can't see me until they're behind me.