I would like to know also when the "carrots' were discontinued.
Possibly with the BA series?
Trev, If you have a look at the 'Just Beezas' Facebook Group there is an article on these covers with carrots by Brian Pollitt.
I ran into Brian when he came over here for our international Rally in Adelaide a couple of years ago. My own A10 has one of these carotty side covers and he pointed them out to me, I hadn't even noticed them before that point

. He maintains they only appear on side covers made by PBM (Perry Barr Metals) one of three different suppliers of these die castings to BSA. He says they (the carrots) appeared when the Super Flash model started in 1953 and are present on all PBM castings for that year (with and without rev counter drive bosses).
They are quite rare as they disappeared when the Road Rocket model came out in 1954 so only produced for about one year.
All this proved to me that my bike A10 1959 Golden Flash was indeed a bitsa having not only the wrong alloy head but also an incorrect outer timing cover to boot albeit interesting parts in their own right. Now Chris is in the same boat, sorry mate!
I'm not sure if anyone knows why the carrots were ultimately removed, maybe PBM got in a bit of a stew with BSA for parts made not to drawing

Just for the record the other two companies involved were APDP (Alloy Pressure Die Products) and AM (Aeroplane and Motor castings)
No carrots ever seen on their products to date. The separate companies generally all put their own Trade Marks on the inside of these covers and there are other variances too.