Oh wow that's a full book report of a review! Thank you very much, I am deeply flattered :]
As a rule I try not to weight in in analysis of my works (because I think it's lame when writers are like "THIS is the ONLY correct interpretation of my art ever, NOT ALLOWED to do anything else!!" so I vowed to never be that person) but I do want you to know you picked up on quite a handful of things I'd sprinkled here on purpose, and I'm very happy about it >:3c
As for Agneau's name, the idea I had in mind while writing was that being given the title of "Agneau" basically overwrote any identity you had prior- aka, whatever name the protag had before no longer matters. They're Agneau now. That's their name! That's who they are. That being said, it's never explicitly stated in the game, so feel free to imagine otherwise. It's free real estate!