I tested several inexpensive DC adapters from my collection, looking for one to power my computer speakers.
Finally I found one where the sound was loud enough, without much distortion. Evidently the voltage held sufficiently high, and with sufficient filtering.
There were one or two other wall warts, whose transformer put out a high enough voltage to sound good at soft volume, but was unable to provide sufficient Amperes at louder volume. Distortion was the result.
Another cause of distortion might be an undersize filter capacitor. At louder volumes, it tends to increase ripple, while volt level drops.
Therefore it increases mains hum, which is a bass frequency. It comes out as distortion through cheap speakers.