The "original" Mondas/Telos Cybermen (perhaps two different races?) were eventually wiped to extinction by the 7th Doctor (Silver Nemesis). A head of an original Cyberman was seen in a glass display case in Dalek. When the 5th Doctor said that "the Cybermen were never allowed to play" the Game of Rassilon (because, like the Daleks, they play it too well), he was referring to them not being included in the list of aliens brought to the Gallifreyan 'Death Zone' by way of Time Scoop. I don't remember hearing anything that implied the original Cybermen were involved in the Last Great Time War. They were already gone, thanks to the 7th Doctor...