And that is an issue. There is not one "real" picture with all the other pictures being "fake" as the use of words like "appear" and "seem" indicate.
I would agree with this, with the exception of the word, "Fake". No one has deemed anything to be "fake".
However, words do carry far more meaning than many posters here assume. I'm sure that most people that are relatively familiar with the NEC are aware of the distinction between the words "will" and "shall". These words are
legally defined and used with specific intent. "Will" is not an absolute word, but "shall" is absolute. Your State ordinances don't say, "...a driver
will come to a complete stop at a stop sign....". They say, "...a driver
shall come to a complete stop at a stop sign...". There is a significant distinction, in what otherwise looks trivial.
The same is true with the word "are". It is correct to say V1n and Vn1 "are" inverses. It is not correct to say V1n and Vn1 "are" out of phase. They "are" inverses, or they "appear" out of phase. (By the way, you did successfully give an example with your coupled generator, where it would be correct to say that those voltages "are" out of phase, and "appear" to be inverses. However, that example is not the same as the topic at-hand.)