Re: The future:
Purchase price - automated cars still have this.
Fuel - automated cars still need to buy this.
Tax - automated cars enjoy a discount now, sure. But it's £10 a month or thereabouts to me.
Insurance - automated cars still need this, and will always need it (probably larger public liability, in fact)
Maintenance - automated cars still need this.
In fact, all cars, including automated, have pretty much these same costs.
What you're arguing against is "a car", not "an automated car".
And what you're doing is suggesting we outsource to a third party to manage our fleet for us, add 50% profit, and sell the same thing we could have bought ourselves back to us? With summoning apps and driving AI and fleet management logistics to always be ready for peak periods in the right places, etc. And that that will somehow be magically be less?
I've done 12,000 miles in the last two years alone, most of it for work. If you factor in that it's a brand-new car, that's about £2 a mile. Sounds expensive, I grant you. But it'll pay for itself next year and then that drops drastically - then it's just the fuel, tax, insurance and maintenance. Do I work 500 miles from home? No. Ten. 10 x 2 (back and forth) x 5 day x 48 weeks = 4800 miles a year, just for basic commuting.
If it's more than 50p a mile, I'll be amazed. Let's do the maths. 45mpg. £1.10 a litre. 4.5 litres in the gallon. That's 11p a mile in fuel. 3p a mile (at most) for my car tax. 18p for insurance, the biggest ongoing cost. That's 32p, plus maintenance (first three years, no MOT required, one tyre costing £100). It's due an oil change, sure, but that's lost in the noise like the tyre.
Even assuming I've vastly under-estimated, and call it 60p per mile to recoup costs over a reasonable liftime - it's still within what my work would pay for travel expenses if I needed to claim for it. They know how much it costs to run such things, because they run their own fleet too.
I defy you to find a taxi or car share or car rental service that averages to less than 50p a mile, or even less than £2 a mile if you're include paying off the car to own it outright at the end. Zip is £3 per hour plus 29p per mile plus £6 per month (they have a deal at the moment, though) for the cheapest car they have, if they have one in your area, at the time you need it, that's not being used. Weekends, evenings, larger cars, longer periods, etc. mean it costs a lot more. I couldn't afford it for my usual commute, I know that, let alone the hassle of trying to get home if they don't have a car available (or paying to guarantee the car is mine for the day).
Sorry, but the reason people use cars rather than public transport, hiring taxis, or automated vehicles, is because they are a cheaper option, and infinitely more flexible. So long as you don't work in a completely car-averse area (e.g. congestion zone), they are a no-brainer. Automating them and charging profit won't change that - the same costs apply, if not more. People will still use them as taxis, etc. same as taxis have a place now. But they aren't going to be the every-person, every-journey vehicle for a long time.