I agree totally, but bear in mind that it is possible to redefine the Escalation levels to reflect what kind of attack has the most... "thematic weight" (urk!) behind it. I think I've explained that really badly, so let me give a couple of examples to show you what I mean.
In the supernatural horror variant
Afraid, you fight normally (with whatever weapon) and escalate to "Murderous Intent".
Jedi: You don't escalate to "Gunfighting", you escalate to "Lightsabres". Shooting a blaster at someone is just good old fighting.
High Fantasy: You don't escalate to "Gunfighting", you escalate to "Magic".
Superheroes: You don't escalate to "Gunfighting", you escalate to "Superpowers".
Totalitarian Regime: You don't escalate to "Gunfighting", you escalate to "Beaurcracy" (Because in a totalitarian society, guns don't kill people. What kills people is the little check mark in their file that sends them away forever: "If you continue to avoid my questions, I will have to put you on report." What saves them is a shield of properly filled-out paper: "But I have this letter of authorization...." Pull out your documents and watch the man with gun turn pale.)