That's was my theory for a long time too, but I feel like Ch4 and maybe Ch3 kind of discourage that line of thinking. It's almost disconcerting reading Ch1/Ch2 again and seeing how much more pronounced the clues for this were. Like it's unimaginable in Ch4 2025 to imagine Maya facing the screen and giving Sensei a rundown on the holy trinity. Obviously, changes of seasons and changing narrators blah blah mean different focuses, but it's just so... weirdly uncompelling for me now. It's genuinely like Ch1-3 and Ch4+ Senseis are different people, which does have its fair share of allusions in the narration. Note how different Sensei's posture is in the Yasu remake of going shopping with Ami.
Consider: In that one scene in Ch3 with loli Maya, why does she say "This isn't what *I* wished for?"
Honestly though, some great ideas. Maya's friendship with Ami is one of the more mysterious aspects of the plot and Ami wishing for a best friend would explain a lot. One slight alteration could be that Maya may have been her cat and she wished for Maya to be a real girl.