To avoid heat the amps have to be biased far too far towards class B. We all know what happened when Onkyo tried to include amps biased more to class A. They were cookers and blew up too often.
Bias more towards class A would add little heat, nothing compared to true class A bias. I think Onkyo got so hot in those days due to the use of earlier generations of high end Silicon Optix video processors.
However I have not had a chance to bench test a higher end receiver. I have a hunch though that low level signal test would unmask the problem. In addition I would really like to see if the headroom at the preouts is as good as the headroom at the output of my pre/pro.
There are bench tests out there that show many AVRs could actually perform better than some separates. I was please to see the lab measurements of my 10 years old Denon AVR-3805 that is now paired with a Parasound A21 for critical listening.
I posted this link
http://www.milleraudioresearch.com/avtech/index.html a couple times before but not sure if you had pay it a visit yet, you can view their 2003/4 lab tests (my 3805 is in there) but to view the newer ones you have to register, and the data are protected so they cannot be posted. The Denon AVR-3808's had low distortion even at low levels, and their preouts were tested to produce >18V max rms so no worry there either. I am sure that particular model was an exception but it just show they could do it if their maker wanted them to.
I guess lab bench tests by HTM, HCC, S&V won't meet your standard but I suspect those from this British site (link above) and some of Gene's right on this site may, or at least meet you half way.

You can't expect them to test everything but I think the AVtech has enough data for you compare separates and AVRs tested under the same conditions and methodologies.
As I mentioned the connectivity options are much greater on a pre/pro than a receiver which is a big point in their favor.
Not from what I have seen so far, especially if we ignore balanced I/O's, a 2K separate pair most likely (Emo could again be one exception) won't provide balanced I/O anyway.
We are not necessarily talking 2K comparison here either. My amp case is worth a lot more than 2K.
Now we can finally fully agree on one!.

I will take a newly superseded 1K AVR such as the AVR-X4000, AVR-4520, RX-A2010, AV-6004 before I take a pair of 2K separates, if such thing can even be found.
Aside from Emo, who do you think offer multichannel separates that we can trust, in terms of reliability, feature, and sound quality? I can think of none, but there are good deals of AVRs out there at any given time due to manufacturer's ability to take advantage of the principle of economy of scale and the regular clearance sales of superseded models. You won't find that in separates very often, try to find your AV-8003 and my AV-8801 for under 2K, or even my older AV-7005 for under 1K and you will agree with me. Those are just prepros, you still have to buy a 5 or 7 channel amp.
My next upgrade will be a Denon or Marantz AVR, definitely not separates, been there, done that, and ready to move on with technology.