White #6 and smaller must be used as a grounded conductor in conduits because there is no excuse for not doing so.......is not a valid reason
It's because, as are the allowances for use of conductors in cable assemblies, that's how manufacturers make wire.
#6 and smaller gauges have been available in colors for decades, so they must be installed as code requires.
Until recently, nobody made larger wire in colors, so the code was written to allow us to identify them in the field.
That's what I meant by no excuse: They make smaller wires in colors, so there's no excuse for us to use the wrong color.
2-wire NM cable is made with white and black, so the code is written around them, with allowances to use the white as a hot.
The white wire is not always a neutral, it's just a white wire. It becomes a neutral only when it's landed on a neutral bus.
Think about thermostat wire and how it evolved: First, there was just red and white for micro-volt and later 24v heating.
Then, forced-air units were introduced, so they added a green wire; then AC, so they added yellow.
The wire colors are assigned as they are because that's how cables are made, not the other way around.