You don’t get to define a flying car anymore than you get to define any other term in language. The public decides what a flying car is. For over 100 years a flying car has meant a vehicle that could be driven on normal roadways and also fly to distant places. That’s for the eminently sensible reason that such a vehicle wold be immensely useful. A family could drive it to a store and also fly it to another city to visit grandma, e.g. Nobody, and I mean nobody, ever defined a flying car as being an airplane that could taxi on a runway. The utter absurdity of such a definition would have insulting to airplanes and automobiles alike.
Dozens, possibly hundreds, of such vehicles have been announced. Each of them has been labeled a flying car, in much the same way that a hamburger patty topped with cheese is standardly labeled a cheeseburger. You could get either separately as a meal but that would confuse and displease the perceived audience. Flying car is the magic term. Anything less is like calling an elevator car a flying car. Car is the proper name for the box passengers stand in to be moved vertically and it does by your definition fly through the air. But that is also too absurd to be accepted as a flying car.
For many decades those flying cars looked much like someone had bolted wings to an automobile, as with that horrifying AVE Mizer above. That changed, or should have, when Hiller introduced his ducted air version, but the notion of a flying car sailed obliviously on.
We now know that VTOL rotored craft are much more sensible, at least relatively so as many practical problems still need to be worked out. They properly should be called flying taxis or suchlike, which will be their main passenger purpose for the forseeable future. Analogous cargo drones will develop alongside them.
Drones aren’t magic. Neither are flying taxis. Flying cars were and are. The American dream has always included the freedom to take off whenever you wanted to wherever you wanted. The automobile fulfilled that dream virtually instantaneously. The flying car was the successor to that dream, a 3D version of being able to navigate both narrow city roadways and the endless air over the continent. In many ways, space travel superseded that dream for a half century or so, with movies and television insisting that the reality loomed for everyone just as the Jetsons could vacation on other planets. That won’t happen for the same depressingly pragmatic reasons that flying cars haven’t succeed.
Dreams are not merely relevant. They are vital, foundational, and motivational. They are carrots instead of sticks. They are not always, or even mostly, achievable. No modern society can live without them. The world always listens to a compelling dream. Maybe it then scoffs, but getting the world to hear in the first place is a giant step.