Doc, seriously? Inside the FAF you're going to disregard the AFM and any SOP and just ignore an engine fire????
Oh...I forgot. You have shown contempt for published procedures and more specifically SOPs in the past. You have your own "common sense" approach to these things.
So let's think about this 337 with an engine fire. Let's make it the front one for kicks. You just passed the FAF and there are flames and smoke coming flying out of the cowling. "Screw the procedures, let's just land this thing", right?
Approach speed is about 90 KTS in a 337 so that means (on a typical approach let's say 3 miles on average) it would take about 2 minutes to reach the MAP and a few more seconds before you're in the flare. And you seriously would ignore the fire and continue to burn for more than 2 minutes?? Wow.
A pilot just landing a 337, and simply "neglecting" to "bother" lowering the landing gear is a different kettle of fish.
While you're cooking your kettle of fish you may want to look up the the proper use of quotation marks. You are literally assigning words to the narrative that don't show up officially ANYWHERE! You are putting words into the mouths of these pilots and it's not only outrageous and insulting, it's incredibly arrogant.
Is it surprising to you that that F15 pilot didn't forget to put the gear down? If it is, it answers a lot of questions for me regarding your attitude. If you were familiar at all with CRM principles and the causal relationship between workload and accidents you would understand that human perform much better with a moderate level of stress. With these kinds of accidents it's the mundane, it's the monotony, it's the (I'm going to use a big word here so get out the dictionary) "complacency" that grows from doing repetitive and mundane tasks that sometimes cause the brain to skip a step.
A pilot in the middle of an emergency has all of his/her senses piqued. They are much less likely to miss operational details at least until they break down in to panic. But that's an entirely different topic isn't it?
Doc, Human Factors have the word "Human" for a reason. It's not Robot Factors or Ostrich Factors and any "Human" who stands up and declares themselves immune to these factors, no matter to what degree, really shouldn't be in the pilot's seat in my opinion.
Have a nice day and please, for the safety of your passengers who just want to get from point A to B without turning in to a smoking hunk of carbon, consider running the fire checklist before you land.
Have a nice day.