The inverted chevron is also used to denote drum and pipe majors.
Probably the most chevrons worn at one time was the case of a a Sgt/Boy or Sgt/App who was also Drum/Pipe Major.
There is a photo somewhere of such a case, with 3 chevrons point down above the elbow and 4 point up on the lower sleeve, of each arm.
Dunno where he would have worn his GC stripes.