We may be talking about two different issues - it's been a while since I've been involved in this sort of thing, but in the commercial airplane industry, aircraft systems are these days similarly interfaced via a network bus structure. We used CAN bus to interface flight control computers to the servos that move the control surfaces on some airplanes. Here we test for EMI, High intensity RF, Power quality, vibration and other things with the idea being that such upsets do not cause undetected data corruption on the bus resulting in unintended flight surface movement among other issues (basically any unexpected anomalous behavior of the system). Of course, the standards for aircraft certification are stratospherically higher than for automotive electronics, but I would guess that there are some standards followed by the Honda's. Toyota's, Ford, etc. How a device behaves under too high and too low power input conditions is a basic quality test.
For our Goldwing audio units, we are specifically talking about the theory that low battery voltage is somehow "frying" the audio unit into a permanent fault state due to physical damage of a component in the audio unit. Here my thought is that lower battery voltage should result in lower current and therefore less power required to be dissipated in an electronics box. The most common parts failure in electronics is caused when the device is required to dissipate more power than it can handle. I've seen the tops blown completely off ICs when some failure caused too much voltage to be applied to a power or input pin, but never during a power quality test were a lower than rated voltage was applied to a box (but just because I've never seen it does not mean it has never happened, just trying to understand the failure condition).
Nonetheless, I tried poking around the internet - some of the ideas expressed about low power damaging electronics either envisioned this problem along with an additional wiring problem, or some theory that didn't make sense to me (such as the thought that low voltage somehow destroyed capacitors). Admittedly I'm not an expert on these types of failure modes (so one would naturally ask then why the heck am I even "chiming in"), so there may be something I'm missing.