Um, I'm not entirely sure. They definitely can't see PodTrapper settings, but they'll likely be able to see network requests your device is making. (For example, that it requested
http://www.google.com/ or whatever). In PodTrapper you can disable MDS, (which is the BES transport), which may mitigate that, but I don't know enough to say for sure. I know if you do wifi or desktop downloading they for sure cannot see it.
-Marcus