I mean, Axel is one of the MCs. Fully agree with 2nd point though.
Might be misunderstanding what you mean, but would that imply that the characters we control during the game (Melia, Aelita, Ren, if you want to be crazy even Goomink and if we count WLL then Keta and Taelia) would have no memories of their backstory when we play as them? If I am interpreting your statement right, then it has to be consistent with those characters too, but then it ends up contradicting a few events in the game (from the top of my head I'd say when we battle Risa as Aelita).