I just don't see how a Stargate could affect a star at all. Stargates are TINY. I guess the sun is super-high-pressure on the inside, but it's still like trying to drain the ocean through a hole 14 centimeters across. (if I did the math right)
Well, the other side did have a black hole sucking away at the star, if I remember my Stargate trivia correctly. If that still wouldn't drain the mass suddenly enough, maybe the insane gravity and time dilation caused the star to destabilize?