Brilliant reasoning! But that's all it is. Unfortunately for us, even if each person finds an explanation that satisfies them, we'll never be able to know what's actually going on. I'll just go for that now.
Now, regarding the names in Ever 17 and Remember 11, although all this conjecture seems to line up. Having played Never 7 I can make no such connections at the current time...
Never 7 takes place in 2019. Even though the order of the games goes as such: Never 7-Ever 17-Remember 11, the times goes as such 2019-2017-2011. And the main thing that connects them?
... I can't remember... The main thing connecting Ever 17 and Never 7