A subject matter expert is one largely because of experience. However good or not I am as a teacher has very little if anything to do with my school of education classes in college.
Indeed. To me, being an SME requires something more than just proficiency. I think that would disqualify most "basic pistol" instructors out there. I would guess most people teaching basic marksmanship and safety classes don't qualify as "expert" as I would define it.