In terms of communication, rosbridge is essentially JSON-contained ROS topics. This makes messages relatively straightfoward to parse, but is not directly concerned with speed and bandwidth. For missing data, there is an open issue with latched topics:
https://github.com/RobotWebTools/rosbridge_suite/issues/1I am not sure who is responsible for the Labview rosbridge client, but they would be the most appropriate person to answer your specific question.
If you are transporting high bandwidth topics (such as images), you should consider a different transport (such as mjpeg_server). If you are transporting topics at a high frequency and need real-time guarantees, neither ROS nor rosbridge are probably suitable. Something like Orocos might be a better option.