(Theory) Lillie's Mom is the Aether Foundation's President?

Okay. So. Hiiiiii. This is a theory that I had while watching a Youtuber record a playthrough. At a certain part in the beginning of the game, at Hau'Oli City, you have the choice of entering a boutique. But before you do, Lillie stops you and asks you who picks out your clothes for you. When you reply with 'I do.', she says something along the lines of: 'oh... you're lucky. My mother was the one who picked out all my clothes, what she thought was appropriate for me.' And even before, at your house, she says, 'you're lucky to have such caring parents...' or something like that. It would explain a lot of things, as the two share the same hair color, eyes, and their first initials are the same. It would also explain why Lillie had access to the Aether Foundation building before the game starts.

Is this just me being paranoid, or do you guys think this way too?