Bass has a longer wavelength than higher notes. The long wavelengths bounce off surfaces with less chance to interfere with itself. This causes a stacking effect which is interpreted as louder bass. The curves and angles of rooms and woofers contribute to the loudness proportional to the power supplied.
The curved shape of the sub woofer enclosure is more rigid than an equivalent size and thickness square box would be.
If the box isn’t rigid then it will vibrate and resonate, making some notes louder or quieter than they should be. And generally making the sound less accurate than it could be.
The curved shape is not directly tied to making the sound louder.
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