I've noticed this on my Fire TV and web, but it may do the same thing on other platforms...
If I'm streaming a live channel and am some number of seconds/minutes behind, and the live stream pauses (presumably due to network conditions), my buffer pauses as well. The simple question is, why?
If I'm playing out of a local buffer and the live stream queueing temporarily stalls, there's no need for the local playback to pause if I'm not caught up.