This CityAirbus takes what, 4-6 people seated? A bus easily takes 40+, a tram 60+ and a metro 250+* - and that's just seats, they all fit hundreds of people if you include standing passengers.
It would take ages and hundreds/thousands of flying taxis to clear a stadium, while it takes only tens of metro trains.
* Numbers taken from public transport options in my home town, will of course differ around the world
Obviously this will not be comparable in capacity to a metro, but it can conceivably be comparable in capacity to bus lines which tend to operate at very low load factors in US cities, by virtue of being much faster to complete the same journey.
The point you're making is exactly the problem. The reason bus lines aren't used more is because they suck in a lot of cities. Improving the public transportation infrastucture (and no, not taxis), would solve this problem - as demonstrated in many European cities.
Here's a good video that compares the city planning of Houston to other cities, and explains why it sucks. It focuses more on cars vs. bikes, but the same basic point also applies to public transportation: https://www.youtube.com/watch?v=uxykI30fS54