There may be a continuation, if/when Amazon completes their MGM acquisition, https://www.gateworld.net/news/2021/11/stargate-creators-new...
Though actually, maybe that could be the impetus for revealing the Stargate to the rest of Earth, as backstory to the new series...
The recent-ish Travelers from Brad Wright had some good episodes.
I'm a die hard fan. I started watching Stargate SG-1 when I was a kid in 1997 (season 1). I've seen ever single episode of every series. Every movie. All multiple times.
I REALLY don't want to see a modern reboot that is like Star Trek Discovery. I'll be so disappointed if they do.
I do think it is possible to revive the franchise and make a compelling show. However, it would be tough to pull off. I love that the show never took itself too serious. Stargate Universe was the opposite and flopped because of this.