QDRHRSE - Not sure where to start -- there's lots of examples of the 'thumb' rule at work. The factory ecu on the 5.0L's injects more fuel (richer) when ACT and ECT rise above a certain level - to help cool the engine/chamber down. Any high performance tune doesn't want to go any leaner than about 12.5 or 13:1 - why? Because the extra heat in the chamber that occurs when you get leaner causes detonation -- and component problems. Look at any turbo or supercharged set up - as boost increases they ENRICH the mixture to cool temps in the chamber and reduce the chance of detonation. With all the focus on 'lean burn' engines, one of the issues to overcome is increased NOx levels - because NOx production increases with combustion temperature increase, and combustion temperatures increase with lean burn engines. A couple of blurbs from other sources (emphasis added in caps):
"When the engine is running at stoichiometric level, NOX production ranges between 1700 and 2500 parts per million (ppm). Since NOX formation is a temperature-related reaction, lean mixtures cause higher NOX production. Mixtures leaner than 14.7:1 (stoichiometry) INCREASE COMBUSTION TEMPERATURES and cause NOX production to increase. " Motor Magazine
"The ‘chemically ideal’ air-fuel mixture, by weight, in which air and gasoline are used, occurs at approximately 14.6 parts air and 1 part fuel. This chemically ideal air/fuel ratio is known as a stoichiometric mixture. Mixtures with more air are identified as lean mixtures, and tend to occur with an air/fuel ratio of greater that 14.7 to 1. A LEAN MIXTURE RESULTS IN INCREASED COMBUSTION TEMPERATURES, which allows for a more complete burn of the fuel." - Brucato PCU Overview (ecu device for Mercury V6 engines)
"Too lean a mixture (not enough fuel) causes the COMBUSTION TEMPERATURE INSIDE THE ENGINE TO INCREASE and will eventually cause the engine to lose power as well." -- from a Chrysler 2.2L/2.5L turbo site
I can go on, there are literally tens of thousands of google hits that say the same thing in case you don't buy it from me....but I think you're alone on this one.
There's lots of other variables at work when low density (high altitude) comes into play. Beyond mixture issues, less dense air transfers less heat away from fins and cooling coils. On liquid cooled bikes, less atmospheric pressure means lower boiling points, so overheating occurs at lower temps. So what's going on in the chamber as your bike runs richer isn't the only issue impacting temps.