Honestly, if SG-1 had ended in S7, they probably just reveal the stargate program to the world. As Atlantis showed, nothing changes if you take the US Military/stargate command and literally sever all connections to any other group but if you're on earth you can't reveal the stargate program and demand the status quo remains the same without creating some cognitive dissonance.

Also better than other countries that only serve as red shirts when they finally brought into the loop regarding the stargate.

I mean, that's just downstream from the basic setup of the show. As their half hearted attempts to address it proved, SG-1 is just built around assuming you can ignore earth geopolitical implications of stargate stuff and the in universe rules about 1 stargate per planet means that you can't really pivot to have a Russian or European program going on in the background. The show doesn't want to have a "geopolitics of earth mapped onto the stars" focus which doubly explains the benefits of Atlantis being able to introduce alternate human factions without tying them to e.g. questions of Russian nationalism.

If SG-1 was cancelled after season 7, I'm pretty sure they easily could have changed the status quo and announced that earth learns of the stargate program.