First: the nominal "12 volt" auto electrical system has never actually been 12.0 volts, nor has it ever been the 12.6 volts of a fully-charged "12 volt" battery. System voltage is always higher than that when the engine is running, because otherwise the battery would not charge. For many years the range of system voltage was about 13.5 to 14.5 depending on battery state of charge and ambient temperature (system voltage must be higher to charge a colder battery, lower to avoid boiling a hotter battery). But system voltage has been creeping upward, more on some makers' vehicles than others. A relevant example is the brake/signal light bulbs GM released, 4114K (clear) and 5702KA (amber) to replace 3157/4157 clear and amber bulbs. The difference is the GM bulbs are rated at 14v instead of at 12.8v; this was GM's fix for a NHTSA preliminary investigation into short brake light bulb life and customer complaints about short DRL bulb life. GM charging system voltage has long tended to be a little higher than some other makers; some GM voltage regulators are calibrated to 15.4 volts! This is still, however, considered a "12 volt" system.
One would be regulating the voltage to the headlamps because it's a good way of making sure they receive the intended voltage and so produce the intended amounts of light over the intended lifespan. The whole system of regulation, design, and certification in the US is based on 12.8v to the lamps. In the past there was no good, cost-effective way to closely control voltage to the headlamps. The best that could be done was to build in a certain amount of voltage drop into the wiring (at least one manufacturer actually issued a TSB and service parts package to put more resistance into the headlamp circuit because too many owners were complaining about short bulb life). But this is a crude method; the lamps can still be hit with transient surges and spikes, and their operating voltage still varies depending on whole-system voltage.
Sure, voltage higher than the design voltage means more light for the driver to see farther. But it also means more foreground light, and it also means more glare light. There are maximum limits on both of those categories of light from headlamps, for very sound safety reasons: too much foreground light severely degrades the driver's distance vision, and too much glare light adversely affects other drivers' comfort and ability to see. The glare limits for headlamps are specified at 12.8v, and you (personally, N8N, from other posts you've made in this forum) think they're too high. One of the effects of closer adherence to design voltage, for example by feeding headlamps with PWM, is less glare from US headlamps. At the same time, headlamp safety performance (how well they let the driver see) generally tends to increase over time as technology improves. That means headlamps are getting better both in terms of driver vision and glare control, in part due to more precise control of operating voltage. I can't imagine a good argument against that.
Voltage higher than the design voltage also means severely shortened bulb lifespan. Filament bulbs' light output varies to the power 3.4 with voltage input, but lifespan varies to the power -13 with voltage input. Take a bulb rated for 1000 lumens and 1000 hours at 12.8v, and operate this bulb at 14.4v. Now it produces 1493 lumens (an increase of 49%) and lasts for 216 hours (a decrease of 78%).
From the automaker's perspective, this is all a complete dealbreaker. It means the headlamp's performance is very likely no longer compliant with the legal requirements as far as light distribution goes, and it means bulb burnouts about 5x more often, which not only means increased warranty costs but also damage to the reputation of the vehicle as a quality product.
Individual drivers deciding whether/how to modify their vehicles may very well be able to justify disregarding bulb lifespan in their quest for more seeing light, especially if they are using headlamps that by design produce very little glare on low beam.