If you're talking about the beginning of Earth, then I got the impression the only priority there was to get Young back so he could sit in on the briefing. It didn't matter who got sent back to Destiny.
That's the point, wasn't the mission to see what was on the other side of the ninth chevron? Well that was Destiny. All they learn about her is what people can remember and verbally say. Unless the Airman which switched with the IOC's Ming-Na has somekind of total recall you would think the Danial Jackson's of the Stargate program would be fighting to be the earth end of the stone watch. Unless they fear what the wrong people will do with their bodies while they visit earth.
Well, that would explain why all the smart people have avoided using the stones to get to the Destiny. They've all noticed the lack of any monitoring for what's going to happen to their bodies on Earth.
Daniel: So, what happens to my body on Earth? Are you going to keep them on-base and monitored?
Jack: Nah. We let them wander off base and do whatever they want...
Daniel: Yeah, thanks for the opportunity, but I think I'll pass...