Tony
The pre-WW1 Dress regs suggest that this was the Officers cap badge for peaked caps and side caps as well. The wreath badge was intended for wear on the Foreign Service Helmet and worn on peaked caps by the other ranks.
This shows it in use in the 1920s ; probably after amalgamation but before the QMO (5-bar gate) badge was introduced.
https://www.britishbadgeforum.com/fo...038#post462038
Alan