Need help understanding Scottish Territorial officer badges

[Jeffweil]

As an American, the Scottish Territorial badges are confusing. I understand that the volunteer battalions VB became territorials in 1908. I understand that some Scottish territorials wore different badges during WW1.
1. 4th n 5th Batt Royal Scots
2. Black Watch Batt without sphinx
3. 5th Batt Seaforth wore Celtic belt in circle.
4. Highland Light Infantry wore blank scroll and South Africa 1900 - 02 scroll
What I would like to know is when these units stopped wearing their distinctive badge and adopted the badge of their parent unit?
I saw something in one of my references talking about a 1922 change, but I still see badges dated after 1922.
Anyone who knows when the above units stopped wearing a distinctive badge, I would appreciate the education.