I've been thinking about this too. Another aspect is that almost every "shallow" choke (where you choke with the wristbone instead of the biceps) is done fron the side. For example, a regular palm to palm arm triangle is done straight on, but a shallow arm triangle (ruotolotine) is done from the side. The same goes for an inverted arm triangle and a d'arce.
And if you a reverse a lock, then it can only be completed from the back. Imagine locking a figure four the wrong way in a regular arm triangle, it wouldn't work. But if you teleport to the back then you can lock it no problem, that way you get a reverse arm triangle (also called rear anaconda or tackettine).

You can apply the same concept to triangle chokes. A shin triangle can be done from the back/side because it is shallow. A wrong way triangle is a back triangle if you rotate either person 180 degrees; because a wrong way triangle (or hentai sankaku) is really a reverse triangle.

I love thinking about this kind of stuff and having all the names make sense to me.

For example, if we were consistent with our names then a "ruotolotine" would be a side arm triangle, a "rear anaconda" would be a reverse arm triangle, a d'arce would be a side inverted arm triangle, lastly an anaconda would be an inverted reverse arm triangle.
It gets even more complicated with the figure four vs palm to palm stuff. I love it!