No, you got it wrong, I meant we couldn't convince on your notion that AVRs are inherently bad, even disasters and you have been recommending against them, when they are a good solution for a lot of people/applications.
FYI, I agree with you to some extent on this too since the crazy race for manufactureres to compete in the number of channels started a few years ago. Just that you seem a little more extreme on this, though you obviously don't know that yourself lol...
As to heat issue, of course AVRs, all else being equal, would produce more heat but AVPs run quite warm too based on my experience with two Marantz AVPs and on other individual cases. Yours may be cool because of your own environment, you probably keep the house cooler than mine (21 to 23 deg C for me) and have ample space for them to vent naturally. My AV8801 has only 11.2 processing, heavily shielded, copper plated, toroidal tx and have more spacing their your AV7705, but it felt as warm as my Denon AVR-X4400H, that's just a fact, so please don't generalize. Though again, as I said, all else being equal, AVPs should run cooler, relatively speaking. It could be that the AV7000 series use low bias currents, and are overall more efficient than the 8000 series. Again, since it has a lot to do with the individual design, AVPs or even a two channel DACs could run quite warm by design. Try one of those British made little ones made by Chord, those little ones could be hot to the touch, yet they could last for years. You can jam a lot of parts/components in a box, if designed well, they can be fine.
How many parts you do think were jammed into the tiny opa such as the NJM8080 and the DSP in you AV7705? You probably do know the answer too.
So please, don't use "too many jammed...." as the reason, it depends on the overall design!!