I know for sure in my 7.1 application most of the time the amps output no more than 10 to 20W of average power. Even at an overall efficiency of say 30%, the amp section would consume no more than 66W, more likely much less, say below 35W most of the time. Besides, even if the internal amps are not used, they will still produce some heat just idling. So yes, adding an external amp will not help much in reducing the overall heat produced.
From the photos I cannot tell if the Denon is in one of the closed cabinets on the sides. If it is then you need to do something to provide forced ventilation.