Yep, and the SAFEnetwork cannot tell you what coins you have as such. You’ll have to read the messages that will be sent when a coin is transferred to you. Typically this would be a wallet that does this for you.
So if you have no way to query the network for a list of your coins then there is no way for any “authority” or hacker or nosy parker to keep track of your coins.
The only way to get a definite count of coins is to query every coin address and see if the coin exists. But of course if you could do this the number would have changed by the time you tested them all.
I did suggest an APP that allows crowd sourced analysis of the approx number of coins existing. For everyone that runs the APP, the APP would query 10,000 addresses that have not been queried in the last week. Then a MD is updated with that block’s count. At one thousand counts per MD then just over 400 MDs is needed
This way a count can be made and if one knows the number of 10,000 address blocks have been queried and the number of addresses existing in each then an approximation can be derived. If enough people around the world were running this APP (occasionally) then it may even be possible to test every coin address once a week.