Played to 5/5 first try. The writing carries it: "oh. thank you.", "five minutes. okay, ten.", and the end line "every one of them stayed. don't get used to it." is the whole game, in a good way.
What I would push on: the needs map one-to-one onto the objects and are shown before you place (ache -> chair, dark -> lamp, cold -> rug), so the score and the "most stayed" framing promise a deduction that cannot happen. You literally cannot miss. Either let one need fit two objects so the choice costs something, or drop the score and let it be a quiet mood piece. As it is, the ending scolds you for a perfect run the game handed you.
Small polish: "LET THEM IN" reads like you are choosing to admit them, but you are just confirming the room, so "open the door" fits better. And the tray labels (CHAIR / LAMP / RUG) are the only uppercase text in the whole game; lowercase would keep the hush. Close to great. gg.