I just think you're selling short the technological evolution that has been occurring and will certainly continue. At present time, no we don't have the technology for any of it, but we're not far. While it may seem battery tech isn't going anywhere, on the contrary, there have been significant strides in the battery space, and the roadmap contains numerous potential winners.
And you also can't develop technology like vehicles of any kind with the aim of being 100% foolproof and 100% free from disaster. There will be accidents. The real design wins come when designing ways to minimize the potential for loss of life. Accidents with regular ground-based vehicles are a thing, and there are airspace accidents too with flying vehicles of all kinds, passenger or military, so obviously there will be some accidents with flying cars.
A 100% AI-controlled airspace for passenger flying cars will absolutely be attainable -- load them up with high-speed low-latency sensors of all the types and let the algorithms take over. Directing a network of autonomous vehicles is hardly out of reach, something that's actively in development for military purposes; with the coming advances in V2V communication, and the plethora of sensors that will come with that as well as via automation/autopilot, scaling automated fleet management is a certainty.
As for the other concerns, like if batteries still aren't favorable by then, I don't think we need to worry. Polluting ICE machines will be a thing of the past. An engine that converts a fuel supply into mechanical energy may very well live on for generations to come, something like Hydrogen or other fuel cell technologies; they don't pollute. There's nothing saying we must stick to gasoline/petrol (or other oil derivatives, like diesel, jet fuel, kerosene, etc) or electricity, there are other options. And remember that this deadline is 30 years away. Look how much has changed in the past 30 years, hell how much has changed in the past 10.
Now whether any of this ends up being something an ordinary citizen can buy and fly? Who knows, doubtful at first. There are many ways this could go, but my bet is on at least the first few generations of flying vehicles being fleet-managed, perhaps without even leasing being available. True autopilot for ground cars will be in place before we have flying vehicles, and possibly even automated highways (no human piloting of vehicles on such roadways, all AI piloting (mostly onboard) with traffic management AI "in the cloud" utilizing V2V tech and 5G or 6G wireless networks). At that point, it'll be like a taxi or municipal transportation service. It's possibly they'll sell some with full autopilot only, no human piloting, and people could buy those for lofty sums to essentially be like buying a flying car and the services of an autopilot AI chauffeur.