Everything is relative to regular stance, nollie was never defined as switch fakie and vice versa even though geometrically speaking that is the case.
So nollie and fakie rotate in the same direction as regular, and switch is simply the mirror of regular.
If you want to use the blindside argument, you have to also note that fakie is defined as riding backwards, the way you're facing is actually the way you came from, not the way you're rolling like with nollie tricks where you're facing forwards in the direction you're going. So when you do a frontside half cab, in the middle of the rotation, your body is open to the way you came from. Feel free to disagree with this premise, but if you accept it, the way we define fakie rotations is logically sound.
All this nomenclature originated from surfing and transition before street and switch skating existed. If we started from a blank slate today and renamed everything, maybe we could come up with a lexicon that is a bit more consistent and intuitive for modern street skating. I personally think the more logically egregious trick names are the fakie slide tricks. The nollie/fakie 180 situation is pretty easily justified if you accept the premise above.
At the end of the day, trick nomenclature was developed over decades by a bunch of stoners. As much as I like to argue about it for fun, it should be seen as colloquial, not axiomatic. Like the english language, there are many inconsistencies and things that just don't make sense but we accept it anyway. Trying to renovate the system to be mathematically airtight is futile and will only confuse people more.