Thanks for all the suggestions guys. Trying to work through this methodically since as noted it is a complicated issue. I think the logs could hold some clues but Pentair basically dismisses the pool-monitor tool/logs and refuses to review the data.
Anyway, last night I disconnected the ScreenLogic transponder from the ET. It was cool here last night in S FL and I slept with the doors open and didn't hear the pump go on, which I usually would. Too soon to make any conclusions because it could just be that I slept through any startups, but potentially positive.
On another note, I'm learning some things about the monitoring. What I stated above about the packets 'stopping' seems to be the result of the monitoring tab on the browser 'going to sleep', and it stops recording packets, not the ET itself. When I check the packet logs directly on the Pi, it does not skip thousands of packets. I also see that the packet count goes from 0-80,000 and then resets itself automatically back to 0 again pretty consistently. In checking the log, the packets do seem continuous at those times where I'm having the problem, so what I think is happening is that when I hear the pump go on, I run into the office and 'wake' up the monitor tab on the computer and it starts recording again.
Going to keep posting here until a resolution is found.