Exactly. Be sure to double check all the paperwork the GA gives you - VDB amount correct? Meal vouchers? New boarding passes for the correct class of service? Hotel vouchers if applicable? I am very polite but very thorough when I VDB.
As was stated above, it has nothing to do with "compensation" but rather with negotiation. I have often negotiated an F seat for a new flight when I was VDB'd. One time I was told by the GA it was not available. But I was told to go to the TA outside security to complete the paperwork. Before doing that, I double checked myself about F availability and sure enough, plenty of room. I told the TA that the GA said she would have booked me into F if there was room, and it looked like there was. That nice TA indeed rebooked my new flight into F.
Why did you have to go outside security to do the paperwork?