Have any other users experienced this issue as well? I am certain that this was a simple oversight by GOG staff.
Within my hosts file (on the Arch distribution of Linux), I have added '127.0.0.1 ' (which bypasses DNS queries for this address, while routing them to the local loopback), therefore allowing the game to start while I am not connected to the internet. Fallout: New Vegas (from the stand-alone installer) will not run until it is able to receive a response to the DNS look-up request for (I had noticed this while capturing packet data).