What you're seeing is probably what happens in post, which is well out of the photographer's hands. Getting pictures to look at least "okay" on newsprint starts at the Picture Editor's desk, and continues from there.
I've met a few Times shooters, and while Canon dSLRs tend to dominate, they're actually using a bit of everything these days, including (hey there!) film.
Edit: If, by contrast, you're referring to the Times website (I'm looking at that pic of US troops in Afghanistan right now), that's still not too far off from the print version. A more interesting question is how the Web images differ in post-process from those in print (if at all).
- Barrett