I must admit though that it seems odd and wonder whether it was considered or indeed whether it was an oversight.
It seems that 661, 662, 663 and 664 are all allocated both to Army Air Corps and also VGS.
The argument about 2 Sqn RAF and 2 Sqn RAF Regt is similar but as you alluded to, it doesn't involve aircraft or two flying squadrons.
Perhaps someone in the know would care to comment?
Regards,
HEDP