This is a fun discussion

I don't have an answer, but I have a theory. I think Full Scale is a leftover from the early days of 16-bit converters (which had more like 12 or 13 "real" bits) and 16-bit audio engines. 40 years ago, digital audio was like tape - you had to go for as high a level as possible to overcome the crappy sound that happened at lower levels (which dithering tried to hide). But the concept of "going into the red" or "as close to zero as possible" had no meaning with digital, so it needed a new name. I would have preferred that we adopted the Spinal Tap nomenclature of referring to the maximum attainable level as "11," but apparently people liked "Full Scale" better
Then evolution happened. We had 20-bit converters that gave 16 real bits, 24-bit audio engines, and 1 Gigabyte hard drives that could hold a CD's worth of material
and cost only $2,000! But there were still audio interface limitations, and a 24-bit audio engine still wasn't perfect, so the full scale concept remained valid. However, as resolutions increased, you could leave some headroom because the resolution extended down to lower levels. You could get away with giving up a bit or two at higher levels, and the sound didn't suffer.
In today's world of 32-bit float, I think FS may be kind of like a vestigial organ but it's still in use because, with rare exceptions, audio interfaces don't break the 24-bit barrier. So, there's still a resolution bottleneck going into, and coming out of, the DAW where we need a term that says "don't go into the red because digital distortion really sux" in digitalspeak. At least that's my theory as to why Full Scale is still around.