[PbFut]

I am sure this is not 100% factory correct but it is 100% functionality correct. Likely a hose is out of position relative to over or under the other but the terminations are for sure correct. Hopefully the image orientates correctly. A key point. From your engine connection the water flows to the valve on the wheel well. From the valve it goes to the bottom nipple of the heater core. Upper nipple of the heater core goes to the radiator nipple. This connection insures the air is forced up in the core and out the return to the radiator avoiding air pockets.
When you work on the heater, AC system, your first step BEFORE you turn on the fan is to get all the leaves and rodent debris out of the vent system. There will be plenty. This will avoid hanging up the fan and burning out the blower motor.