Find a GA member that knows he's a 800 series. No one does. But if the offical toys, site and so forth call him by his full model number, that is what he was. He's never called a T-800 in T2 so you could say he's not there as well. He only calls himself a T-101 in the film, but he was indicated to be the T-850. Just like in Star Wars there are tons of side characters that are never given names in the film....cough Boba Fett in ESB. It was years until the film gave him his name, but everyone knew his name after ESB because of the toys. Or the few unfortunate few that watched the Holiday Special. Or just the tons of other SW characters that their names are never said but they are canonically given one. Like one of my favs IG-88.
Now is it going to be refereed to people in the GA like that....heck no. Like I said they don't know anything, nor care. I will bet money none of them know the T-800, he was just called the Terminator 99% of the time. That's what they know him as. But officially he was designated the T-850.
http://terminator.wikia.com/wiki/T-850_(Rise_of_the_Machines)
But again 99% of people out there say just The Terminator for him. It never said it in T2 either, so people just have always called him that. But it does not mean he does not have a designation.