Well IQ is a reasoning test, and common sense is practical every day reasoning, so it should cover that. Are we talking about the same people that try to wrestle alligators, sign up for pyramid schemes and ride speedbikes in a T shirt and shorts? Common sense isn't super common.
The thing with IQ tests is they're all based on similar concepts so it's possible to train for them which is what AI does. Most humans grow up learning to walk, speak, interact, read non verbal cues. I would argue a musicians wouldn't tend to be a higher IQ than an average person but an AI can't come close to writing a song and playing a guitar that reasonates with people. AI can assist with it but it's missing the human spark for now