Not if the data is correct.
We are talking about gain structure here and not power output per se. In other words increasing volume to maintain power with decreasing gain structure with temperature.
We are not the only ones to have had this discussion.
After doing further reading there is no doubt that the Beta and that means the gain structure of solid state devices is temperature dependent.
So how has this crept up on us.
Well I looked at a paper with a lot of advanced math, and it seems for an output of around a volt going from 50 C to 100 C will change output about 40 mv on average. So if you look at a single device spec. sheet then that is negligible in db. However modern devices have hundreds if not thousands of devices and almost all in series. So the gain losses are all mathematically summed in most cases. This now gets to significant db gain loss. I think we have just not paid attention to the changes in all the series junctions involved.
Now the next point.
This is Newton's laws of cooling. Living here I can tell you wind chill matters.
An object cools in direct proportion to the temperature gradient at the interface.
However not with wind or running water. Then we get log decay! So once you add fans you have wind chill and much more effective heat transfer.
So the really only plausible explanation for ADTG's observations, which I believe are correct are: -
Change in gain structure (Beta) of solid state devices with temperature.
The additive series effect of these gain changes.
The much increased efficiency of thermal transfer of forced air over convection.
I have to say I feel rather foolish not having considered these effects more thoroughly before.
I would say to consider the voltage drop of low power draw cooling fans as not in the least bit plausible.
I have to say that in the winter when we return here from Eagan we come into a house at 55 F. That is where we leave the thermostats set. I have long told my wife not to start the rig until the house has warmed up as it does not sound right. I had assumed that this was due to stiffening of loudspeaker suspensions. That may be part of it, but this temperature effect on gain structure more likely has more to do with it. Don't forget that these changes may not only affect linear gain, but would also affect circuits influencing frequency response. So far more likely than not these phenomena can affect frequency response.