Aye, the Gurkha Kilmarnock certainly does, much like this NWMP pillbox:

http://www.rcmp-grc.gc.ca/history/im...illbox_cap.jpg

In contrast, here is Matt's Hummel bonnet:

http://albanach.org/hummel.jpg

You can see progression, but I wouldn't say that the AASR cap is a substitute. It's going to look like a Scottish Rite cap with the Eagle removed.

T.