OK, your Sigma is 60 grams lighter. But it is a few centimeters longer and a few centimeters wider. In a crowded room, I often graze heads around me, so I prefer to be as compact as possible. And again, since I am not overly concerned with noise, I'd rather have as much aperture as possible, raise the ISO and increase the shutter speed.
So, why not go for a 55-200/4-5.6G DX. Even smaller, lighter and a pretty good lens. That us if you are not concerned with noise. But if you are not concerned with noise, why do you want 'as much aperture as possible'?
Uh? Is this a trick question& (looking around to spot the candid camera

)
You have not been paying attention. Or maybe you have never been in a low light situation.
Look at this image taken with a D200, ISO1600, at 1/10s and f4.0. 70-200 at 200 mm.
Look at the guitarists hands. I want to be able to freeze them. If I shot this at f5.6, I would be using 1/5s, so a smaller aperture is out of the question. ISO1600 is the maximum "native" ISO on the D200 . With my dream DX cam, I could crank the ISO to, say 3600, and shoot at 1/40s and keep the same aperture, not because I want to shoot that wide, but because otherwise there would not be enough light to freeze the action.
What is so hard to understand? Why that obsession about noise? Ever used souped up Tri-X?
For a comparison, here is another one which I thought was with the 70/200, but turns out it was with the 70-300. I had to change ISO to H1, 3200 ISO on the D200. With post-processing, the noise is still acceptable.
D200, ISO3200, at 1/10s and f4.8. 70-300 at 112mm.
I waited until the D300 came out, and it offered less of a relief than a 2.8 lens, so I invested in fast lenses instead of a body which I would have to replace eventually.
JC
Some cameras, some lenses, some computers