Yes, it’s explicitly stated when they say “You two are supposed to be exactly like Mario and Luigi…”, meaning their whole existence is supposedly anchored to them. It fits for Peach, but less for Daisy, as she was created for Super Mario Land and later was used in the Mario sports games as a counterpart to Peach. The Luigi connection was bolted on later. In that way, she’s a lot like Waluigi, only existing to be a sports partner for another already existing character.

Can’t see that scene without also thinking of this one.