Here's a standalone game of the mansion minigame.
It lets you play the entire mansion game in one hit (including a few cutscenes that are relevant). It's even got a mansion repair themed intro!
Yeah, it was clearly a hint to something, and does undermine the idea of the room being a kid's room.
But they don't look like they are "flying" to me. It looks like they are just sitting on a rug and are angled a bit due to the heel at the back:
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Still, that whole, "called out for help" monologue. Maybe the mc meant call out for his own help, because she really is psycho. I love the idea that she's a psychotic killer, and James has been dead all this time, but that would destroy her character completely. I'd be surprised if DPC intended that all long.