Not happening in my opinion. Too many people love the idea of having a personalized vehicle, another safe space so to say. While the idea is cool, there is no way possible that I can think of to just one day ban all non-self driving cars at once. Monkey brains don't like having a "freedom and safe space" taken away just out of the blue. While cool,self driving with human driving and error are not bound to mesh as the computer works through calculation (not all variables can be accounted for without supercomputers/huge network say like a random deciding to swerve last second into your lane, we can "see it" and make our choice which as a computer would need to process what happens, this is all without mention obscuring the computers view, say a 16 wheeler blocking the right side) while we humans are drive by impulse and experience. If self driving is going to happen, it would have to be all at once and not a slow integration. At least what I mean is by county perhaps. Signs like "no human driving permitted" while as the benefit and downside depending on which side of the coin you look at, less human control for more calculated ones, not to mention of hacking a car, so easy to do now if you got basic computer coding, and prevention of EMP level grid shutdown by say a lightning storm. And that's just a couple of many factors typically not considered by articles and hype. TLDR: it's a cool idea, but not gonna happen in at least USA society.

I'm curious as to how "self-driving" cars which use visual cues to keep on a road/in a lane work when there is snow on the pavement. Do they just wait until the roads are cleared?

I always think of this video. https://www.youtube.com/watch?v=Qs69m9T-4Rk

From what I can gather, most highway/semi-routes could be automated, but would require a driver present or remote to navigate specific areas where the computer can't determine what to do. I think automated city driving is out of the question for now.

There is a large "Push" to get autonomous cargo trucks out onto the highway as that environment is the best as far as the variables of traffic are at a minimum.  In fact their are limited runs using those robo trucks in a few states now.  This wil cause concern for independent drivers who depend their living as they would be side lined eventually.  But Cargo companies see the numbers and they like it.  They won't have to have employees or contracted drivers anymore.  There will have to still have a employees though to offload trucks (for now) and drivers to drive the trucks into the shipping/cargo dock stalls in a facility.  But those jobs will be eventually automated eventually.  As for public highways and streets...thats more complex..so many variables that programming has not scratched the surface yet to deem those programs safe. Sure you have seen the latest Tesla autonomous drive video video but how about someone jumping in front of you suddently from a shrub on a centerlane while your going 60 mph ?  Would it detect and brake on time?  How about you test that theory on yourself if so sure LOL?   No...it wil take some time and probably some deaths before it will be considered 'safe" as possible unfortuantely.  But on the positive side...the accident fatality rate should diminish. The rate of speeding ticket collection will diminish for State, City and counties.  Maybe body shop work will diminish as well.  For every plus their will be a minus they say...

About driving on ice and snow.

I noticed you signed your post Figmund Sreud.  Is that the same thing as one  Swell Foop?  Just curious.