Regarding classification of the Vectrex, and whether to use the term Video game in its truest sense, in the original text from GCE there is no reference to the term Video game.
They use different terms to describe the Vectrex:
When the first press release went out for the Vectrex in June 82, the Vectrex was called a "GCE Vectrex Arcade System".
http://homepage.ntlworld.com/pascual.nicholson/files/articles/presskit_release.pdf
In the EU patent granted in June 83 for the Vectrex it was described as "A self contained arcade game apparatus".
http://homepage.ntlworld.com/pascual.nicholson/files/patents/Patent%20-%20Self%20contained%20arcade%20game%20apparatus%20for%20object%20generation.pdf
OK, but the Vectrex box and instructions for the one I bought at Sears in 1982 immediately upon release here in the US both use the term "video game".
Actually, I think we're splitting hairs on semantics. After some research, I see that "video" certainly is used most commonly these days to refer to raster displays, but I think what most people mean when they say "video game" is less related to the technology than it is to the visual experience.
I'll most likely continue to refer to the entire category of rectangular-display electronic games as video games for the rest of my life, unless there becomes a compelling reason to differentiate on a regular basis, or if the word police stop by and start issuing fines.
Actually, I 100% agree with you, I was just playing devil's advocate. In fact I found in the Vectrex service manual the ulitmate description:
see http://homepage.ntlworld.com/pascual.nicholson/files/articles/Vectrex%20Service%20Manual.pdf
"The Vectrex is a self-contained, microprocessor based, Vector display, portable home video game arcade with external game cartridge program capability"