Humans only at the beck and call of self-driving cars who cannot see well in the rain. Instead of "surge pricing" for high demand, it would be "human pricing" to pay for the "skilled" driver in the rain and snow.
ie: $1/mi during sunny days, $10/mi during snow days, instead of $7/mi every day of the year. Very interesting to consider, and honestly a bit scary thinking of so many people I've met who are using Uber to make a living. :-S
Google Maps has a ridesharing comparison function built-in; you don't have to replace incumbents to undercut them when you have the advantage, and the tech will keep improving.
Ice and snow is the real terror, which affects driving discontinuously and in many different ways. You can go from almost total control to almost total loss of tire grip almost instantly with black ice.
It is true that if their tech can't handle rain well, they would avoid rainy cities. But even if their tech can handle it pretty well, why pick a city that has less than maximum odds for success? Going for the low-hanging fruit first could very easily just mean that they know how to prioritize, not that they can't reach the higher fruit.
Also, there are lots of other factors (like regulation and other driving conditions) that dilute the signal.
But that's very different from launching in 2 or 3 cities that don't have a lot of rain and also have a bunch of other things in common.
Depending on how they are coded I feel this will be not a big deal at all, or a huge, huge showstopper that will require rearchitecting, but not much in between.