Well, it's more of a linguistic/english lesson. I meant the median and just forgot that average and mean are synonyms. But thanks for pointing that out.
I actually edited out exactly the same argument that you wrote, because I (and you) have nothing to actually back it up.
Counterexample: if 60% of people earn very close above the average and 35% earn 30% below average and 5% earn (on average) double the total average, then the majority earns above average even tho the right hand-tail gets high. This is just one possible scenario that is not even completely unrealistic.
Also remember that most crazy incomes are not salaries.