In response to the OP's question: yes, I would.
I have to acknowledge that the roll out of genuinely driverless taxis has not been as rapid as I had expected, or as quick as the speculators in the early 2010s driverless gold rush expected. However, there are now two US cities (Phoenix Arizona And San Francisco California) where you can now pay a fare to one of two operators Waymo (Google) and Cruise and ride in a taxi with no other occupant.
There are clearly still incidents, including amusing attempts to stop them with traffic cones, though these seem fairly small in number and generally are the cause of inconvenience rather than injury. There is clearly still significant money being spent by the two companies and other potential operators to improve things, identify 'edge cases' that had not come up before and improve the performance of the technology. The fare is comparable with normal Uber services according to the sources I have read, but I expect they pricing to limit demand to within their capacity. Given the continuing development costs, it will be some years before the reduction in costs from dispensing with the driver will enable them to under-cut conventional taxis.
Whether I get to ride in one any time soon (short of visiting those cities) depends on how quickly they can improve things to satisfy US regulators more generally and scale to a greater number of US cities. They appear to working on increasing the testing of driverless vehicles in locations with more variable weather for example. More general adoption in the US is likely before they appear in the UK as that will give them a better body of experience and data to meet the requirements of regulators here. I would expect similar services in some UK urban areas within five years.
In some of my early posts to this forum, I stated that I thought they would become a threat to the viability of rural rail services and I am still think this is likely eventually. Longer distance full self driving appears more difficult to implement than urban and my early speculation on how long this would take is likely to be wrong, but I would still say 2040s look plausible. Once sufficiently reliable, low cost self driving cars have lots of have lots of use cases beyond just replacing conventional taxis that are often overlooked and would make car ownership less economically rational (particularly for those in cities) than it is now.
With actual paid for rides in just two cities, we are clearly very early in the adoption curve, where the customers will often be from the, "I have to be the first to try this" group (a tiny part of the whole market). Next comes early adopters, but after that comes the gradual take up by the majority, with the more sceptical the last to try the new thing. If you were an adult in 2005, ask yourself when you got your first smart phone. If the answer to this was last year, I would predict you are very sceptical of self driving cars. If you can't now remember when you got your first and have had several different handsets, chances are you'll be using self driving cars once they are established...
