The KRRC wore the
QVC badge with lugs upto 1902.
The TEK badge was introduced until in 1902 and lasted until 1905 and then it changed to the KRRC badge that continued until the 1950s.
If, big if, the TEK badge was worn on the side cap with lugs and the FSH/slouch with long sliders then this might explain both fittings?
I suspect the KRRC did not wear Brodricks.
Alan