You think a gentle clap is pushing air around at 343 meters per second?
I take it that this means your source for refutation is "Lack of imagination"?
You don’t need air moving at the speed of sound to create noise. I can gently scratch a table surface and create noise and it’s not because of a sonic boom happening.
If I gently tap my fingers together slowly in a quiet room I can hear the sound. It’s not a sonic boom clearly. Neither is a sonic boom happening when I scratch my elbow and can hear it.