Non-engineer question: Do the 'idle power benefits' apply only when no signal is present, or would there be some partial benefit when the signal is at low amplitude? As we know, the RMS of music is pretty low compared to peak values most of the time.
Portable speakers don't often sit idle for very long (auto-off with no signal after ~5 mins is common) but if the efficiency also applies to some extent when it's not 100% idle I could see it being helpful.
At low amplitude the benefits will be there. Class D is (except for certain special fancy designs) always switching, so at idle and low levels is mostly bouncing between say +V and -V equally. As the signal gets larger, more time is spent at the top and bottom rails, as pulse width increases to provide more power. This article has more explanation and pictures about class D operation:
https://www.audiosciencereview.com/forum/index.php?threads/class-d-amplifiers-101.7355/
Modern designs operate a little differently in the details, but the overall concept and waveforms are the same.
Portable designs can benefit, but GaN is expensive enough and hard enough to integrate with normal Si ICs that I have not seen it used much there (but again not something I have really looked for). A highly-integrated single-chip solution (in Si) will probably outweigh the benefits of GaN (which is not highly-integrated) for portable/micropower devices. (GaN is difficult to integrate with a Si substrate so tends to be external devices.) And turning the amp off is almost always going to be a lower-power solution.
There are also a number of other power devices available that provide high-power solutions, such as SOI (silicon on insulator) FETs, HEXFETs, SiC transistors, and some other Ga/GaAs/InP/etc. technologies beyond the scope of what I'd want to delve into here (even if I felt competent to do so). The SiC vs. GaN debate is fairly big, with different applications favoring one or the other devices, and (FD - Fully Depleted) SOI is big is some micropower applications, but this is not something I follow closely (or hardly at all).
Practically speaking, whilst GaN does offer advantages, my opinion is that for audio the advantage is mostly marketing ("Look, we have the latest technology!")
FWIWFM, my 0.000001 cent (microcent), etc. - Don
Edit: Duplicated some posts from
@boXem -- he is using them in one of his amps, I think? Probably a more reliable source of info...