That depends on the devices used and the company/designer's philosophy. If someone wants the amp to deliver the stated output with a varying supply voltage, unregulated is one of the last things they would want because, as can happen in a car audio system , going from idle to a higher speed can act like a volume control. In a house where the power company isn't very good at maintaining the line voltage, brown outs can cause similar problems.
When I was still doing home and car audio, Dynamic Headroom became something that was used by amplifier manufacturers for their ads. Many well-known brands' amplifiers and receivers weren't able to do better than about .5dB-1.5dB Dynamic headroom, which was the ability to provide a clean peak output above the rated power. Most home audio was OK, by a few companies like NAD were better. In car audio, companies like Coustic Audio/MTX and Rockford Fosgate made amplifiers that were very dynamic and needed much larger power cables while PPS and some others did what they stated and that was all. That said, PPS and others did that very well, but it required more specificity in the system design. With the looser amps, the lights would dim and the voltmeter needle would drop when the output was increased, so people started to use 1 Farad stiffening caps and extra batteries.
Best to find a happy medium.
You're right- anything with a processor really, really wants a well-regulated supply.