It sounds like the Loop, as it currently exists, is not actually able to do any of the above. It can take you from an unpleasant “station” to another one. This limitation isn’t fundamental, but it is still a limitation of the system as built.As for the idea of a convoy of magic cars, it’s a nice idea but I don’t think it holds up to actual math. Specifically, area used. There are plenty of variants of this graphic, and here’s a tongue in cheek one:
https://xkcd.com/2684/
The fundamental issue is that individual low-capacity vehicles are large and use lane space inefficiently. Sure, perfect self driving might improve the situation, maybe by a factor of two or, extremely optimistically, a little more. But a factor of two isn’t really good enough.
Consider the 405 freeway in Los Angeles through the Sepulveda pass. It carries over 300k passengers per day (I’m not sure whether this counts Sepulveda Blvd as well, but, either way, we’re talking about 12+ traffic lanes), and traffic sucks. Maybe really advanced self driving could double capacity. Sticking a freeway lane in a narrow tunnel does nothing to speed it up or increase capacity.
In contrast, Wikipedia’s estimate of light rail capacity is about 8x as high for a rail track as compared to a lane of traffic. A single pair of light rail tracks could perform comparably to the entire Sepulveda Pass mess of roads. If actual intelligent, retroactive planning happened, there would be four tracks for one express and one local each way, New York style, and the whole assembly would be quieter, cheaper, far faster (at least during rush hour), and use massively less energy. But self-driving Teslas would not get most of those gains.
(E-bikes and the kind of culture that would get a hundred thousand or so people to ride them over the pass on their commute would also do the trick, but good luck with that. Although… the pass isn’t that long, and maybe Dutch-style levels of dedication to cycling might actually make it work. Los Angeles with real bike infrastructure would be quite a sight!)