If I put my hand near the f-holes on my cello while I play, I can feel a shocking amount of airflow in and out of the body.
The sound emitted by the holes is indeed unbalanced because that's dominated by the resonant frequency of the instrument, but that's a large part of what gives the instrument such acoustic power.
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Additionally, it does make sense that the sound is more efficiently emitted by narrow holes with lots of edge area: it's like the skin effect in electrical conductors at high frequencies, where most of the current flows near the surface of wires, rather than in the bulk.