There are numerous articles in the news about scam artists using the Census to obtain personal information; which is another thing you may consider, as the VA has lost a lot of data over the years. It is not only the VA, but other sources having personal information have been compromised too. Identity theft is out there, and still growing.
As far as the VA monitoring this site, I dunno... Which bring to mind the question of "Who watches the watchers?"
It is a good thing to be aware, and lots of us have no problem with being paranoid! I monitor my bank account daily. One day I overheard my wife giving her SSN to someone over the phone, and read her the riot act about giving out personal information to who knows who. She then told me that she called the company, they needed her SSN for verification, and it was not an unknown call from the outside. I let her go on that one...