Does the manufacturer specifically warn to unplug the power cord only at the receptacle and not at the equipment?
Since the power cord detaches at the equipment, it is reasonable to assume that some end users would find it more convenient to plug/unplug at the equipment end. If that is a problem for some reason then a caution would be printed on the owners manual and the back of the equipment. Also, the equipment end is chamfered to fit the receptacle, preventing inadvertent polarity switching. All these signs point to it's okay to unplug everything from the equipment.