Like so many of my responses I’m going to have to respond with the word “context”.
In the context of, for example, major American, British and other European roads that most of us are familiar with, having a certain quality and style of markings, for example (I’m thinking of the interstate highway system in particular here, though many state highways and local roads have equally well-designed road beds, pavement, markings, turn radii, gradient, line-of-sight, etc.) we count on a certain level of “drivability of the road itself. (On the other hand, if you watch television commercials for new cars – particularly any that are marketed as any kind of off-road vehicle – or tires, for example, they always seem to feature immediate hazards springing up from or falling onto the road: avalanches, washouts, trees falling thither and yon, badly secured tarpaulins blowing off of loads of junk piled into truck beds, etc., and expert drivers with nerves of steel – and the sponsor’s super-duper vehicle and/or tires, swerving without care to avoid the obstacle. The primary thing that might be valuable about self-driving cars in those situations would be their ability to stop quickly. Because they would certainly NOT be designed for high-speed evasive and off-road maneuvering. So in that case I would trust driverless cars – which will stop more frequently when road conditions demand that – than I would trust any hotshot breezily driving over the median, swerving around fallen trees and rocks and plowing through streams “to make schedule”. Not that that sort of thing actually happens much, either; I’m just saying.
So: context. As driverless cars become more and more realistic and prevalent the demand will also increase to improve roads themselves.
GPS systems, nearly ubiquitous now anyway, will become even better than they are.
Control systems, including feedback mechanisms to warn operators (not “drivers”) of pending malfunctions, and, even better, to automatically warn other vehicle operating systems in the vicinity of traffic obstructions and disruptions (like Waze, for those who are familiar with the app, but car-to-car instead of driver-to-driver) will also become more vital. And more ubiquitous.
I will not only grow to “trust” driverless cars, but I enthusiastically look forward to the technological leap in transport that they will engender.
But when I travel to India in the foreseeable future, I will probably still want a car with driver, and preferably an older, experienced driver with a sense of sedateness and purpose, and who is more determined to get home to his family at the end of our trip than he is (because so far I have yet to see a professional woman driver in India, although I have used them in the States) to win some kind of land speed record for our trip.