No. Screenshots are made locally (as in on your computer) and don't communicate any info to whatever website you're on. It's analogous to taking a picture of something with a camera.
And that's the part that bothers me. If there are multiple people watching the exact same stream, and one of those people posts screen caps, how are they tracking and determining who is doing it?
At first I thought maybe they are using some sort of pixel tag technology, but there is nothing in the code of the RLC page (or javascripts that support it) that suggest that, meaning that if they are doing that, it would have to be at the stream level, which would be extremely expensive and difficult to deploy properly.
Cookies can't track across multiple domains, so that's not it, either.
Which drives me back to an assumption I made months ago - they're using Google Analytics to track movement on both their site and here on Camcaps to track page views and times by IP address (even if anonymous, Google only masks the last octet of the ip address).
I was think maybe there is very low opacity code somewhere else that we are missing? I tried looking at some of the images and inverting them to see if I could find anything else hidden.
I've tried that as well, but found nothing. If that existed, it'd almost have to be repeating across the screen, as it would need to appear even if someone cropped out most of the screen. I'll play around some more with it in Photoshop to see if there is ANYTHING at all. But again, there's nothing in the HTML or Javascript on the RLC page to suggest this is happening.