In the MRO image it's hard to see, but I'm pretty sure they are wearing thin white gloves (probably nitrile).

The ESA picture says its from a thermal and mass model, and the guy in question is hovering over a test fixture.

I can't say much about the ISRO video. I hope it's just press footage of something that isn't the actual flight unit. That would be pretty reasonable. Later in the video you can see the techs wearing gloves pulling the vehicle off a moment of inertia test. It's encouraging, but the fact that they're wearing hair nets while half the guys have giant, uncovered beards is not.

With Curiosity, NASA even went so far as to aim the initial trajectory to miss Mars. This was out of fear that the upper stage of the rocket, which did not have the same amount of contamination control, would collide with the planet.

MOM's orbit is fairly eccentric, so it's not likely to collide with Mars any time soon. I think we have a lot of time to study Mars before we worry about any potential contamination.