Most heat pumps end up wherever there was room for them: on a pad by the back door, bolted to the siding, or screened off behind a bit of lattice. They're loud, and you see them from the street.
The chimney was once how a house exhausted dirty air into the atmosphere. A heat pump needs to exchange heat with the outdoors in much the same way. Its look is classical, and it happens to suit what a heat pump actually needs.
Mockups of typical standing-seam installations.
The Foundation, heat pump, and Ghost Stack.