I guess...given the origins of the term 'yuri', this could count in a familial love kind of way? Like how we use the word 'love' to mean romantic, platonic, etc. If 'yuri' is used for love between girls, who's to say that that love always has to be romantic and/or sexual? Just a dumb thought, though. This was cute, but it certainly didn't come across as being romantic or sexual at all.
After all of those stories of pets being depicted as humans though, there is some room to speculate further that maybe not all is as it seems. If we want to get degenerate about it, maybe the little girl isn't actually that age at all, but is an adult 'little'? Maybe she's just being portrayed as small, because she is currently in little-space, and is in a relationship with two 'caregivers'. That's one way to ruin the innocence of this story.