In the UK, you are automatically given an ADV if you have an ADI; they are still shown as separate ratings on your licence but when you do a unit licence endorsement it'll generally only be for ADI (plus appropriate endorsements).
It sounds pretty similar to your situation; I only have ADI unit licence endorsements but regularly control VFR traffic. I think you'll find that the difference between ADI and ADV is to do with the aerodrome (and its procedures) rather than the type of traffic handled.