The majority of Americans didn't fly anywhere last year and I'm not sure they would agree with your assessment. This is a case where more democracy — putting region airports on ballots — makes a lot of sense. If the majority of people vote for it, then by all means, subsidize it.
There is a reason why republican government is more effective than a pure democracy.
We have plenty of examples of populist idiocy. Many folks never fly - I’ve actually only ridden an airplane 8 times. But the overall benefit to society is compelling and beneficial to society.
Sports stadiums can be similar, but modern clubs want facilities who luxury features exceeds what the government should provide.