Counterintuitive is a word that crops up when comparing propane/methane fuels to gasoline. Rich/lean temps don't compare to gasoline, and is often backwards on engines running CH4/C3H8. Other words, to a point rich=higher EGTs, lean=lower EGTs. We get used to gasoline characteristics and apply it to other fuels. I don't know the exact mechanism with gaseous vapor fuels that causes EGTs to spike rich of stoich, but have seen it happen personally, and read about it happening to others. SOP on CH4/C3H8 is to set just lean of stoichiometric:
"Opposite of gasoline, set your load block toward the lean side under average load. Your engine is now safe, running clean, and will last longer than it ever could if running on gasoline. Also, there is no need to be extreme about the setting. For alternative fueled engines lean is cooler, cleaner, and most efficient. That’s why if you are camping and traveling and using your generator at different elevations, always reset the load block." (US Carburation)
The coolest illustration of this which I personally witnessed occurred on the dyno of a shop in Houston in the late '80s. Entex, a TX natural gas supplier, wanted to make a replica natural gas powered funny car to use for advertising...."THE POWER" of natural gas etc.
We get there, and know from the noise, something mean is in the cell. One of our party ran inside to check it out while the rest of us are checking/unloading our engines. A minute later he walks out and his eyes are wide, "Guys you gotta see this". Just inside to the right is a big window to the cell and there is this Hemi with a 12-71, and a custom natural gas injection hat on it with headers that are literally white hot. The IR through the glass made it uncomfortable to even face it. Before the next pull I put my sunglasses back on. After about 3 seconds into the pull the headers went incandescent. You could literally see the exhaust pulses, the cool spots, through the header tubes. When there was a miss, you could instantly tell just by looking at it. The pictures/videos of glowing F1 headers pale beside this.
According to one of the employees,it was the second time the engine was on the dyno. First time it melted the headers, and took out $400+ of thermocouples (EGTs). No mention was made of engine damage. Never did find out if those headers were some exotic titanium blend or Inconel.