Well, again, to a certain extent they're ignoring all continuity, or rather taking a mashup of whatever bits they want from each.
For example, the 'Sarah dies of cancer' comes from T3, obviously. But they decided she would have died in 2005, not 1998. Because, if she died in 1998, she'd already be dead by the time the series started. But T2 was supposed to be 10 years after T1, IIRC (even though the movie came out only 7 years after)... young John was supposed to be 10. In T3 they retconned him into being a teenager, because the actor was. The series started 'two years' after T2, which meant they kept the idea of John being a teenager, and kept the cancer, but ditched the idea that she was diagnosed in Baha before Judgement day, and managed to hold out until Judgement Day passed, because Judgement Day was in 1998. SCC starts in 1999, so either they passed Judgement Day and thought they escaped it entirely (which I saw no sign of), and T2 was _extremely_ close to the date (which doesn't quite feel right), or they decided the originally scheduled Judgement Day was another, later date.
So it's all a bit of a mess timeline wise. I still think the best way to treat it is sort of like... well, like the Stargate movie to series translation. Roughly what happened in the movie(s) happened in the series. But they change whatever they need to in order to make their series work, and you just sort of have to accept it without questioning.
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For example, the 'Sarah dies of cancer' comes from T3, obviously. But they decided she would have died in 2005, not 1998. Because, if she died in 1998, she'd already be dead by the time the series started. But T2 was supposed to be 10 years after T1, IIRC (even though the movie came out only 7 years after)... young John was supposed to be 10. In T3 they retconned him into being a teenager, because the actor was. The series started 'two years' after T2, which meant they kept the idea of John being a teenager, and kept the cancer, but ditched the idea that she was diagnosed in Baha before Judgement day, and managed to hold out until Judgement Day passed, because Judgement Day was in 1998. SCC starts in 1999, so either they passed Judgement Day and thought they escaped it entirely (which I saw no sign of), and T2 was _extremely_ close to the date (which doesn't quite feel right), or they decided the originally scheduled Judgement Day was another, later date.
So it's all a bit of a mess timeline wise. I still think the best way to treat it is sort of like... well, like the Stargate movie to series translation. Roughly what happened in the movie(s) happened in the series. But they change whatever they need to in order to make their series work, and you just sort of have to accept it without questioning.